{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 07 - Meta-Learners\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:40.314930Z",
     "start_time": "2023-06-26T13:31:37.992850Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sns\n",
    "import matplotlib\n",
    "\n",
    "from fklearn.causal.validation.curves import relative_cumulative_gain_curve\n",
    "from fklearn.causal.validation.auc import area_under_the_relative_cumulative_gain_curve\n",
    "\n",
    "\n",
    "from cycler import cycler\n",
    "\n",
    "color=['0.0', '0.4', '0.8']\n",
    "default_cycler = (cycler(color=color))\n",
    "linestyle=['-', '--', ':', '-.']\n",
    "marker=['o', 'v', 'd', 'p']\n",
    "\n",
    "plt.rc('axes', prop_cycle=default_cycler)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Meta-Learners for Discrete Treatments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:40.318447Z",
     "start_time": "2023-06-26T13:31:40.316522Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [],
   "source": [
    "pd.set_option('display.max_columns', 8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:40.722815Z",
     "start_time": "2023-06-26T13:31:40.321458Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "300000 10000\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mkt_email</th>\n",
       "      <th>next_mnth_pv</th>\n",
       "      <th>age</th>\n",
       "      <th>tenure</th>\n",
       "      <th>...</th>\n",
       "      <th>jewel</th>\n",
       "      <th>books</th>\n",
       "      <th>music_books_movies</th>\n",
       "      <th>health</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>244.26</td>\n",
       "      <td>61.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>29.67</td>\n",
       "      <td>36.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>11.73</td>\n",
       "      <td>64.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>41.41</td>\n",
       "      <td>74.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>447.89</td>\n",
       "      <td>59.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 27 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   mkt_email  next_mnth_pv   age  tenure  ...  jewel  books  \\\n",
       "0          0        244.26  61.0     1.0  ...      1      0   \n",
       "1          0         29.67  36.0     1.0  ...      1      0   \n",
       "2          0         11.73  64.0     0.0  ...      0      1   \n",
       "3          0         41.41  74.0     0.0  ...      0      4   \n",
       "4          0        447.89  59.0     0.0  ...      1      1   \n",
       "\n",
       "   music_books_movies  health  \n",
       "0                   0       2  \n",
       "1                   2       2  \n",
       "2                   0       1  \n",
       "3                   1       0  \n",
       "4                   2       1  \n",
       "\n",
       "[5 rows x 27 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "data_biased = pd.read_csv(\"./data/email_obs_data.csv\")\n",
    "data_rnd = pd.read_csv(\"./data/email_rnd_data.csv\")\n",
    "\n",
    "print(len(data_biased), len(data_rnd))\n",
    "data_rnd.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:40.726858Z",
     "start_time": "2023-06-26T13:31:40.724143Z"
    }
   },
   "outputs": [],
   "source": [
    "y = \"next_mnth_pv\"\n",
    "T = \"mkt_email\"\n",
    "X = list(data_rnd.drop(columns=[y, T]).columns)\n",
    "\n",
    "train, test = data_biased, data_rnd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " \n",
    "### T-Learner\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:41.649186Z",
     "start_time": "2023-06-26T13:31:40.728288Z"
    }
   },
   "outputs": [],
   "source": [
    "from lightgbm import LGBMRegressor\n",
    "\n",
    "np.random.seed(123)\n",
    "\n",
    "m0 = LGBMRegressor()\n",
    "m1 = LGBMRegressor()\n",
    "\n",
    "m0.fit(train.query(f\"{T}==0\")[X], train.query(f\"{T}==0\")[y])\n",
    "m1.fit(train.query(f\"{T}==1\")[X], train.query(f\"{T}==1\")[y]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:41.678015Z",
     "start_time": "2023-06-26T13:31:41.650669Z"
    }
   },
   "outputs": [],
   "source": [
    "t_learner_cate_test = test.assign(\n",
    "    cate=m1.predict(test[X]) - m0.predict(test[X])\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:41.877292Z",
     "start_time": "2023-06-26T13:31:41.679607Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'T-Learner')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gain_curve_test = relative_cumulative_gain_curve(t_learner_cate_test, T, y, prediction=\"cate\")\n",
    "auc = area_under_the_relative_cumulative_gain_curve(t_learner_cate_test, T, y, prediction=\"cate\")\n",
    "\n",
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(gain_curve_test, color=\"C0\", label=f\"AUC: {auc:.2f}\")\n",
    "plt.hlines(0, 0, 100, linestyle=\"--\", color=\"black\", label=\"Baseline\")\n",
    "\n",
    "plt.legend();\n",
    "plt.title(\"T-Learner\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:42.337106Z",
     "start_time": "2023-06-26T13:31:41.879005Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd8001506d0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Mo9u3b5ff20WLFqG2thYulwsf+tCHMrrvU51G5CkAbwFYzhizMMY+xRi7lzF27/Qm+wC0AzgF4KcA7gcAzrkHwIMAXgBwAsBvOefH5vwCQhDNhzQWoSzdPsxkqks+8X5YMjVlC0EQ6UumTtrFOPqpT33K73tbUlICk8mEb3/72ylu4exIdRTqds55Oedcyzmv4pz/nHP+GOf8sen1nHP+AOd8Cef8PM75QcW++zjn9dPrvpG6qwhOpA9prEJZOn2Y000jSLwP+fUQBJFoMn3SHvi9HR0dxZe//GXU1tamuGWzI91NqBlLNB/SWISydPowp5tGkPAnnRJNEgSR+cyHSXs6KUESRboHMWQkIkDB4/HAZrPhJz/5CX7+85/PCFAIdFaPJABF43A7V6kkhMP8fHoZ5guhghwIIp1IZdqb+ZxyJxnXJr5VIi2H1WrFzp07M2rSHuv3NhMgAS4JiKhR4TAJhI4ajSUKKpoP81xFrGbiyzCfB22CyDRSGV0/nyP7k3VtkSbtdrsd/f39cLvdszpPMtm0aRPOP/98FBQU4MSJE6luDrRaLUpKSpCXlxfX/iTAJYFY0jkkWlsyl6kkMi0Efz4P2gSRaaQy7c18TrmTrGsLN2m32+3o6+tDZWUlDAYDGAuWqpVQwjmH0+nEuXPnACAuIY584JJAKn3E5vLcmRaCPx/8OAhivjCbsWq2UZHz2Y83mdcWyr+2v78flZWVMBqNJLxFCWMMRqMRlZWV6O/vj+sYJMAliVQ6TM5HZ81EMJ8HbYLIROIdqxIRFTmfx8lkXVuoSbvb7YbBYEjIORYaBoMhbrMzCXBJIpVRo+kUsZpuzOdBmyAyjXjHqkRo0+fzOJmKayPNW3zM5r6RAJdEUpnOgVJJBGc+D9oEkYmkouqIMMH+5Cc/gc1mw65duzIiMW0s0Ddg/sM4n5PyoGnBhg0b+MGDByNvSMxrrFYrHn74YXz/+98nAY4gMhSr1YobbrgBer0eExMT2Lt3b9Tv86OPPipTYgjeeOMNGI1GlJSU+G1LUeqROXHiBFauXJnqZmQs4e4fY+wQ53xDsHWkgSP8yNSSKbGQacEXBEHMZDba9GAmWLPZjOLi4oytNkDEBmMs7M/OnTvjOu6RI0dwxRVXwGAwoLKyEv/xH/+BZCnKSIAj/Mj0kikEQSwc4jUTBjPB3nvvvTAYDBSlvkDo6emRPz/96U9nLPuf//mfmI9pt9txzTXXoLS0FO+88w7+3//7f/jOd76D//7v/0508wGQAEcEQKk2CILIFGajTQ8MaPr0pz9NUeoLiLKyMvljNptnLDOZTDEf88knn4TD4cATTzyBNWvW4CMf+Qg+//nP47//+7+TooUjAY7wg1JtEASxEAhmgqUo9dRisVjQ2NiI3bt3o7GxERaLJdVNwurVq5GTkxPyZ/Xq1XLbt956C5dffrlfSpUPf/jD6O7uRkdHR8LbRpUYiBlQnVOCIBYCgdVkMrFE4HzBYrFg//79yM7ORkFBARwOB/bv34/NmzejqqoqZe3at29f2DxtWq1W/t3b2zujraWlpXJdbW1tQttGAhwxAxrECIJYCAQrZZhpJQLnC01NTcjOzobRaAQA+bupqSmlApyoZx4tgXndhOk0GXnySIAjgkKDGEEQC5FE16cmomNoaAgFBQV+ywwGA4aGhlLUoilWr16Ns2fPhly/aNEiHDt2DMCUD11vb6/felEmS2jiEgkJcERQaBAjCGK+sG3bNpw8eXLGcsrxlj4UFhbC4XBIzRsAOJ1OFBYWprBVsZlQL774Ynz+85/HxMQE9Ho9AODFF19ERUUFFi9enPC2kQBHEARBzGs2btyI9vZ2v8S9vb29lB4pjWhoaMD+/fsBTGnenE4nxsfHcemll6a0XbGYUO+44w589atfxc6dO/GlL30JbW1teOSRR/DlL385KSZUikIlCIIg5jWUHin9qaqqwubNm2E0GmG1WmE0GlMewBArJpMJL774Irq7u7FhwwY88MAD+NznPofPfvazSTkfaeAIgiCIeY0IzBLls6xWK3bu3EkBWmlGVVVVSgS2W2+9NWF52s477zy89tprCTlWJEiAI9IO8lchCCLRUHokYr5BAhyRdpC/CkEQiaagoAATExM4dOgQiouLcdVVV8l1NDkkMhHygSPSDvJXIQgiGdx+++3Izc3F6tWrqdYzkfGQAEekHVTOiyCIZHDXXXehvr5e/k+TQyKTIQGOSEuoJiFBEImGJofEfCKlAhxjbAtjrJUxdoox9i9B1v9/jLHm6Z+jjDEvY6xgel0HY+zI9LqDc996IpkEKzRNEAQxW2hySMwXUibAMcbUAB4FcC2AVQC2M8ZWKbfhnH+Hc76Oc74OwBcAvMo5tyo2uXJ6/Ya5ajcxd2zfvh2XX345DbAEQSQMmhwS84VURqF+EMApznk7ADDGngZwE4DjIbbfDuCpOWobkQZQOS+CIJIB1Xom5gOpNKFWAuhS/G+ZXjYDxpgRwBYAzygWcwD7GWOHGGN3J62VBEEQxLxCTA5J+0ZkMqnUwAUrDBYqFfJWAG8EmE8v5Zx3M8ZKALzIGHuPcz4j/fG0cHc3ANTU1My2zQRBEARBECknlRo4C4Bqxf9VALpDbHs7AsynnPPu6d/9APZgyiQ7A875Ls75Bs75huLi4lk3miAIgiCIzIYxFvZn586dMR9zYmICO3fuxPnnnw+tVotNmzYlvN1KUqmBewfAMsZYLYBzmBLSZjgkMMZMAK4AcKdiWTYAFed8dPrvzQD+Y05aTRAEQRBERtPT0yP/fv755/HpT3/ab5nBYIj5mF6vF3q9Hg8++CD27dsHm82WiKaGJGUCHOfcwxh7EMALANQAHuecH2OM3Tu9/rHpTW8BsJ9zPq7YvRTAHsYYMHUNv+ac/3nuWk8QBEEQRKaiLNVoNptnLIuH7OxsPPbYlOhy+PDh+SvAAQDnfB+AfQHLHgv4fzeA3QHL2gGsTXLzCIIgCIKYA7Zt24aTJ0/OWJ7qOrWrV6/G2bNnQ65ftGgRjh07Nocteh8qZk8QBEEQRErZuHEj2tvb/bRgvb29Ka9Tu2/fPrjd7pDrtVrtHLbGHxLg5pB0nWEQBEEQRCrZvn07nnzySbhcLuh0urSpU7to0aKUnj8cVAt1Dtm4cSPUajUqKyvlj1qtTvkMgyAIgiBSSbrWqV29ejVycnJC/qxevTplbSMN3BySrjMMgiAIgkg14huZTnVqyYRKAHh/hrF7926UlZXBarVi586dKZ9hEARBEESqEd/I7373u/jc5z6XFt/GWE2ox48fh8vlwuDgIMbGxtDc3AwAWLduXcLbRgLcHJOOMwyCIAiCSAcyvU7tdddd5xe12tDQAADgPFShqfghH7g5RswwOjo60sK+TxAEQRDpQirq1N56660JE7A6OjrAOZ/xkwxIA5cCMn2GQRAEQRBEaiEBLgWIGQZBEARBEEQ8kAmVIAiCIAgiwyABjiAIgiAIIsMgAY4gCIIgCCLDIAGOIAiCIAgiwyABjiAIgiAIIsMgAY4gCIIgCCLDIAGOIAiCIAgiwwgpwDHG9jHGFs9hWwiCIAiCIFLCwMAAvvKVr2BgYCDVTYmKcIl8dwPYzxh7AsB/cs7dc9MkgiCI+YnFYkFTUxOGhoZQWFiIhoYGVFVVpbpZBEEAuO+++zAxMYEHHngAv/3tb1PdnIiE1MBxzn8LoAFAHoCDjLF/Yox9VvzMWQsJgiDmARaLBfv374fD4UBBQQEcDgf2798Pi8WS6qYRxILn17/+NbKysvD8889Dq9VmhAAXqZSWG8A4gCwAuQB8SW8RQRDEPKSpqQnZ2dkwGo0AIH83NTWRFo4gUswdd9wh65M/+eSTKW5NdIQU4BhjWwD8N4A/AriAc+6Ys1YRBEHMM4aGhlBQUOC3zGAwYGhoKEUtIggikwmngftXAB/lnB+bq8YQBEHMVwoLC+FwOKTmDQCcTicKCwtT2CqCIDKVcD5wl5PwRhAEkRgaGhowPj4Oh8MBzjkcDgfGx8fR0NCQ6qYRxILlrbfegkqlwtjYmFw2PDwMxhhaWlpS2LLIUB44giCIOaCqqgqbN2+G0WiE1WqF0WjE5s2byf+NIFJIc3Mzli1bhpycHLmsqakJOp0Oq1atSmHLIhMpiIEgCIJIEFVVVSSwEUQa0dzcjAsuuMBvWVNTE1atWgWtVgsA2LdvHx5++GH4fD48/PDDuP/++1PR1BmkVICbDpT4HwBqAD/jnD8SsH4TgOcAnJle9AfO+X9Esy9BEARBEKnhoYceQnNz85yec926dfj+978f0z7Nzc34yEc+4rfs3Xffxbp16wAAHo8Hn/nMZ/DSSy+hsLAQGzZswC233ILy8vIEtTp+UmZCZYypATwK4FoAqwBsZ4wF01e+zjlfN/3zHzHuSxAEkVQsFgsaGxuxe/duNDY2Ul43gsgQfD4fjh49OkMDd/DgQSnA/f3vf8eqVatQXV0No9GIW265Bc8//3wKWjuTVGrgPgjgFOe8HQAYY08DuAnA8STvSxAEkRBEct7s7Gy/5Lyz9W2jig1EphOrJiwVtLa2wuFwoKKiQi47cuQI2trapADX3d2N6upqub6qqgrnzp2b66YGJZVBDJUAuhT/W6aXBXIxY6yFMfYnxtjqGPclCIKIm0jaNWVyXsYYjEYjsrOz0dTUNKtzUsUGgkg+wsT7wx/+ECdPnsSLL76I22+/HQAwOTkJAOCcz9iPMTZnbQxHKgW4YHcg8E69C2AR53wtgB8AeDaGfac2ZOxuxthBxtjBTClQSxBE6hGCVF9fHwYGBnDw4EE8/vjjOHTokNxmaGgIBoPBb7/ZJudNhlBIEMRMmpubcc0118BisWDNmjX47Gc/i29+85vIz8/HD37wAwBAZWUlurre1xdZLBY/jV0qSaUJ1QKgWvF/FYBu5Qacc7vi732MsR8xxoqi2Vex3y4AuwBgw4YNQYU8giCIQJqamuDz+dDd3Q2tVovc3Fw4HA7s3bsXpaWlqKqqSkpyXqrYQBBzQ3NzM9avX49vfetbfsutVqv8+4Mf/CCOHTuGrq4uFBUVYc+ePThw4MBcNzUoqdTAvQNgGWOsljGmA3A7psp2SRhjZWxaV8kY+yCm2jsUzb4EQRCzYWhoCMPDw9BqtTKdgMFggNfrldqwRCfntVgsGBwcxKFDh9Da2gq7fWoOSxUbCCLxtLS04Pzzzw+7jUajwfe+9z1cddVVOO+883DfffeRBo5z7mGMPQjgBUylAnmcc36MMXbv9PrHANwK4D7GmAeAE8DtfMogHXTflFwIQRDzksLCQpw8eRJerxcejwdarRZ6vR65ublSGyaS8yoDDi699NK4Ag6EydZsNsPhcMDhcODUqVOorKyESqXCpZdemuhLJIgFS19fH/r6+iIKcACwdetWbN26dQ5aFRspzQPHOd8HYF/AsscUf/8QwA+j3ZcgCCJRVFRUYHx8HCqVCjqdDm63G06nE2az2U8bFpicVwQ+RBNBqow2HRwchNlsRmlpKfR6PXp7ezE6OgqbzYbbb7+dolAJIoGUlpYGDVDIJKiUFkEQRBC6u7tRW1sLlUoFt9sNjUaDnJwcjIyMhDSRxhJBGrjt6Ogozp07B7vdDpPJhOXLl2P9+vUoKioi4Y0giBlQKS2CIIggDA0Noba2FoWFhejt7YXT6YTBYIDBYAgpUCkjSAHI301NTTP2CdxWBEn09PQgLy8PAPm+EQQRGhLgCIIggiAiTE0mE0wmEwDMiDgNJJYI0sBty8rK0N7ejtHRUXDO4XQ6MT4+Tr5vBEEEhQQ4giCIIDQ0NGD//v0ApoQwIVAtXbo0pI9bLGlFArcVgmJvby/eeOMNqFQqFBUVyYhXMqMSBKGEfOAIgiCCICJMjUYjrFYrjEYj1q5di5aWlpA+brGkFQncVkTFlZWVITs7GwaDAWNjY+jr66NKDARBzIA0cARBECEIjDBtbGwM6+MWS1qRwG1tNhvq6upgs9lk7jm32w2bzYbq6uqgfnQEQSxcSIAjCGLBE6x4PIAZy6LxcQsU+sKh3Hb37t0oKChAT08P9Ho9AECr1crgCarEQBCEEhLgCIJY0Ih0HtnZ2dIsumfPHjDGUFxc7Gcq1el0cDqdCS2dJRA+cQaDAW63W2rghP9duHMEE0BJW0cQ8xvygSMIYkETrHj82NgYRkdHZxSUZ4wltHSWEuETZzab4Xa74XA44HK5YDabMTAwgJGREezevRuNjY1+/nCx5J4jCGL+QAIcQRAZgahwEEyImQ1DQ0MwGAx+yzweD9xut98yoRkLDGzYvHlzQrRdwieutLQUhYWFMBqNKC4uhsFgAOccWq02qIAWTADNzs6W0asEQUTHwMAAvvKVr2BgYCDVTYkKMqESBJH2BDNz7t+/PyHCU7DUHxrNzKFRmDFj8XGLlWDHbmxshEajCRk4EUvuOYIgQnPfffdhYmICDzzwAH7729+mujkRIQ0cQRBpTzK1TMFSf+Tk5CA3Nxdnz55Fe3s7Tpw4gffeew9ZWVloaWmRqUTmgmAaQqWAVlhYCKfTCbvdjtbWVjQ3N+PYsWPQarVz0j6CSDQulws2mw2Dg4Ow2WxwuVxJP+evf/1rZGVl4fnnn4dWq80IAY40cARBpD3J1DIFS/1xyy23oKurC5dccknI/err6/HWW2/NaFeiiZQcuKGhAc8++yz6+/uh1+vh8/kwMDCA4eFhcM6xadMmCmggMgaXywW73Q6VSgWNRgOfzwe73Y68vDzodLqknfeOO+7AHXfcAQB48sknk3aeREICHEEQaU8sFQ7iIZjpUvjBfP7zn8eFF17ot25oaAgPPPAAbrzxRnzuc5/DyMhI0qI/hYA2Ojoqo1Nzc3Nx8803y7abzWaMjo7C6XTC4XAgLy8PWVlZ6OrqSpipmSDmAofDAZVKBZVqykAofjscjqQKcJkICXAEQaQ9ocpaJbNOqM/nAwBccskluPHGG2esHxsbw8MPPwyDwYAHH3wwrF9erGk+3G43OOcAAM65/JsxJpcp8Xg8WL16Ndra2mAwGKDVasE5x8TEhDQ1kwBHZAIej2eGD6pKpYLH40lRi9IX8oEjCCLtCVbWKpSglKhI1d7eXgDASy+9FPRYS5YswU033YQDBw7g+eefR1ZWFgwGAw4ePAiv1ysFwFjTfHz729+GXq9HVlYWsrKycPPNN6OkpARr1qzBunXrsGbNGpSUlPj5/wk/OKfTKX3fPB4PDAYDBTQQGYUwmyrx+XxBA4sSwVtvvQWVSoWxsTG5bHh4GIwxtLS0JOWciYI0cARBZAShoj+FdquzsxNDQ0OoqKhASUnJrCJVLRYL3n77bQBAXl5e0GMNDQ1h586d6Ovrw89+9jP87Gc/8zuG0WjErl27kJeXJwMwLBYLJicnYTAYgmrFXnrpJXzhC1/Ahz/8YVx++eX4y1/+gtdee83PdDQyMoLe3l7YbDbY7XZwzmG32zE4OAifzweXywXGGNxuN6qrqxNqaiaIZGM0GmG32wFMad58Ph98Ph9ycnKScr7m5mYsW7bM7/hNTU3Q6XRYtWpVUs6ZKEiAIwgiaSS7QoAyvYjT6QQAdHd3w2AwIC8vDwDiMh82NTUhKysLAGTUa+CxhF/eZz/7WalhEz5qK1aswP79+/Gxj30Mq1atgl6vx7lz56RWT6VS4QMf+ACWLVuGFStWAAD6+/uxY8cOLF++HL/73e+Qk5ODiooKvPTSSzh79iyWLFmCkZERtLe3AwD0ej1aW1sBAMuWLYNOp8PZs2dhs9mQn5+P2tpaaLXapJuaCSKR6HQ6OWkS5tScnJyk+b81Nzfjggsu8FvW1NSEVatWSW32jTfeiNdffx1XXXUVfv/73yelHfFAAhxBEEkhmbnbBMr0IqJmqMfjQU9PD/Ly8uI2Hw4NDfkJcMDMqFfhl5ednY2tW7dKvzxxff/0T/+E//t//y9effVVjI6OAgBWrlyJFStW4Ny5c3j33XexatUq/MM//AP+z//5P/jmN7+J4eFhvPDCC1IbIDQAp0+fRnl5uRQARbtEepG+vj4sX74cubm58Hg8yMvLw9DQEIxGIy699FLyfyMyCp1ON2cBC83NzfjIRz7it+zdd9/FunXr5P8PP/wwPv3pT+OJJ56YkzZFCwlwBEEkBaVwBcxMQBsvSq1eV1cXFi9eDKPR6FdDVGjj4jUfFhYWorOzE8D7AlzgsYKlH1EKSwaDAT/96U9x6NAh/PKXv4RKpYJOp4PH40FNTQ1uvPFGHD58GC+88AKeeeYZAMBjjz2G888/X55j5cqVAIDs7Gy43W50dXXB6/XKj1thYaGszyrOabVasXXr1pivmSASzaZNm2Ysu+2223D//ffD4XDguuuum7F+586d2LlzJwYHB3HrrbfOWH/fffdh27Zt6Orqwsc+9jG/da+88kpM7fP5fDh69Ci+8Y1v+C0/ePAg7r//fvn/lVdeGfOx5wIS4AiCSArJyN0WqNXr6enByZMnUV9fj7KyMrS3t8sC8KJOaTjzoVIY1Ol0ePHFF6FWqzE+Po4TJ07I7UIdK5qqDMKkyzmH1+uFVquVJqFrr70Wu3btwssvv4yCggJcfvnlfvvm5uaiuroaJ0+eRFVVFdRqNbRaLVQqFRwOB/r7+1FQUIDs7GwAiU2tQhDzndbWVjgcDlRUVMhlR44cQVtbm58GLl0hAY4giJDMxoctGbnbArV6NTU1aG1tRVdXF1avXo2Kigp0d3fLbcKZDwOFwRdffBG7d+9GSUkJtFotvF4vKisrozpWOMS9E9pBwejoKFasWAGTySRzuinbJu57UVER3n33XWzYsAF5eXkyWk6n02FychIjIyOoq6uLSmAliLkknNbKaDSGXV9UVBR2fXV19ay1Ys3NzQCAH/7wh3j44YfR0dGBhx56CAAwOTk5q2PPBSTAEQQRlNn6sIXK3bZ06VI0NjbGJRQGavXy8vJQX1+PM2fOwGq1orS0FFu2bInqeIHCoIh8++EPf4iPfvSjUbUnGgoLC+HxeNDd3Q1gKk2C0+mEWq1GQ0PDjO0D73t5eTmOHDmCsbEx5OfnQ6PRYHx8HD6fT/oKdXR0AABqa2sT1m6CmO80NzfjmmuugcViwZo1a1BfX49vfvOb+MQnPoEf/OAH2Lx5c6qbGBYS4AiCCMpsfdiC+YgtXboULS0tcQuFwbR6Wq0W69ati9nvK1AYHBgYQG5uLsbHx2M6TiBCe9bV1SXrpTocDphMJrjdboyOjkKtVuP6668Pes3ivns8HrS1tUGr1cLj8eCXv/wlCgsLcdttt0mN3uTkJFQqFerr66WQTJUXCCI6mpubsX79enzrW9/yW261WlPUotggAY4giKAkwoct0EessbFxVkJhIisyBAqDAwMDKCwsnJWJV2jPRD1SEQBhMplkua3ly5eH1ToODQ1Bo9Ggvb0dWq0Wq1evRnNzM0ZGRtDV1YWLLroINTU1cDqd8Pl8MogDSFygSOA1JTMVDEGkipaWFuzcuTPidldffTVaWlowPj6Oqqoq/O53v8PFF1+c/AZGIKUCHGNsC4D/AaAG8DPO+SMB63cA+Pz0v2MA7uOct0yv6wAwCsALwMM53zBX7SaIhUAyfNgChUK73Y7u7m4MDQ2htbUVBoMBNTU1IYWESJGf0WKxWGC323H8+HHk5OSgqqoKfX19UkCJF6E96+rqgk6ng1arhdvthtvtxvLly2E0GiNqCgsLC3H06FFotVpotVrk5+fjnnvuQUdHB3bt2oWRkRF4PB7U19fDbrejpKTEb//ZBIoECmsVFRWz0pgSRCJxuVx++eGMRmPc6Ub6+vrQ19fnF/UdigMHDsR1jmSTMgGOMaYG8CiAawBYALzDGPsj5/y4YrMzAK7gnA8zxq4FsAuAsqr0lZzzwTlrNEEsIJJRf1QpFNrtdpw+fVoKOA6HAw6HA1lZWUGFhEDh4uqrr5brLRYLXnnlFZw5cwYAUFdXhyuuuCJk5QbhY7Zy5Up0dXXhvffew+DgoN8xoyUwrUltba3MSQe87/MWrWDV0NCAt99+Gzk5OeCcw+PxwO12Y82aNQCASy+9FA888ACAKY1mooTsYD6Pe/fuRUVFRVI1fAQRDS6XC3a7HSqVSpbbstvtyMvLi0uIKy0tnVFTONNIZS3UDwI4xTlv55y7ADwN4CblBpzzNznnw9P/vg2ARgyCmCOirT8aCw0NDRgfH4fD4ZBO/U6nE7m5uTAajdBqtbDZbLIAuyBcPVGLxYI9e/agra0NGo0GarUara2tePbZZ4PWG21qaoLP50NXVxdaW1tht9sxMTEBp9Ppl04gGgLbpdFo0NbWBpVKBbfbDeD9mqTRClZVVVUy/9vExAS0Wi3q6upQVFQEjUaDz372s9i1a9eM+8k5l5Go8WgRlT6PovqE1+vF8PCw33ZUW5VIBQ6HAyqVCirVlNgi/hZ+pguRVJpQKwF0Kf63wF+7FsinAPxJ8T8HsJ8xxgH8hHO+K/FNJIiFTTR5zmI9njCBjoyMwGw2w+12y8oDQlvldrvR3NwstW0jIyMhfecAYGxsDAaDQabpYIxhdHQ0qKZI1Ez1+XwyAe7AwACAKROvxWKJ+pqVwqDT6QRjDB6PB2q1GgCkEFdcXByT9nLTpk1SG6bUfv7nf/4nvva1r+G1117D3XffnTCTMgB0dXVhfHwcExMTMBgMKC8vR25urqwiIaBcc0QqEGZTJSqVCh6PJ0UtSj2pFOBYkGVB9ZmMsSsxJcBdplh8Kee8mzFWAuBFxth7nPPXgux7N4C7gamcUQRBpBalUOhwODA5OYn+/n74fD6oVCqo1Wq8++67slSUx+PBmTNnsGLFCj9ToVIT5PF4oNfr5TqtVguHwxFUUySENhHByRiTKUQqKytjMg8KYVCr1UKv18Pj8ciPSnl5ORwOBwwGA0pLS2Ny/g8nmP3mN79BX19f0PsZK8L829rairNnz4IxhuzsbPh8Ppw+fRomkwlqtVpeRzgzOgU7EMlEmE2FBg6YqqQQKNQtJFJ55RYA1Yr/qwB0B27EGDsfwM8AXMs5l6Mx57x7+nc/Y2wPpkyyMwS4ac3cLgDYsGFDZhu8CSIMmfYBbWhowLPPPouxsTG43W6o1WpMTk7C5XJBq9WipKQEbrcb3d3d0Gq1sFgsMJvNcn+lJqinpwcej0dq4ETS3GCaIqPRiPHxcbhcLjidTvz85z+Hy+UCMJUcNJx5MPAeC/OiOK9Wq4VOp4PRaPQrxRMPgYKZxWJBY2MjXC4XTp48GZWmMNwzoYyY7e3tlWbfiYkJuFwuGI1GjIyM4Prrr5eBJqE0fHNR95ZY2Ai/WWBK8+bz+eDz+aT2fiGSSgHuHQDLGGO1AM4BuB3AHcoNGGM1AP4A4GOc8zbF8mwAKs756PTfmwH8x5y1nCDSjEz8gFZVVcFsNmN0dFRGa3q9XqhUKmRlZUnN2OTkJNRqNcbGxnD06FEpnOXm5soKBh0dHdIMyjnHxMQESkpKgvqCVVdXQ6fTYWJiAq+//jrcbjc2bdqE0tJS6PV6Py2fkmD3eHR0FBqNRkaMut1ucM5DHiNelOcuKSlBe3t7xP6N9EwoI2Z9Ph8MBgPUarXsA4/Hg7KyMqxfvx7r168P275k1b0lCIFOp0NeXp5fFKooSbdQSZkAxzn3MMYeBPACptKIPM45P8YYu3d6/WMA/h1AIYAfTedTEulCSgHsmV6mAfBrzvmfU3AZBJEWZMoHNFAjZLfbsXr1apkvrbm5GWNjY5icnMTw8DBUKhW0Wi0mJibg8/nwt7/9DaOjo/B6vaioqIBWq8X111+PW265xS8Kdfny5SGjUBsaGrB3714UFhbi+PHjWL58OTZt2oTKysqwfmrB7rHZbJYaQxFpWlxcjNLS0oTeN+W5zWYz7HY79Hq9X/9arVaMjY2hsLBQBoGEeyaGhoagVqvR19cHl8sFj8eDrKwsqFQqlJaWYmxsLGq3E2V6mJGREfT29kpTdbprgonEwDmX73GyEJVH5hOziYRNqfGYc74PwL6AZY8p/r4LwF1B9msHsDbpDZyHZJqZjYiOaJLuprrvg2mEBgcHodPppMBjMBhkricRUep2u+Hz+TA6OornnntOHk9o4dxuN26++WZs2rQJJpMJQ0NDyMvLC9mOkpISPPLII7L81GWXXSaFrkgJdgPvcXV1NU6cOIEVK1b4+YjNJpdcpHObzWZwzuF2uzE0NIQ///nP+Otf/4pvf/vb8Hg8snZqqGeis7MTjY2NaG9v96urKu670WgMW+orGCI9jNvtlgmI1Wo1GGNprwlONql+7+YCMYFJtOZ5IeB0Ov1qJMfCwvX+y2DiHRAy0cw2GxbCwCmIlHQ3Hfo+mEZIFJ/Pzc2FwWCA2WyG1WqFwWAAY0wGGmRnZ6OnpwcAcOuttyI7Oxu//OUv8dZbb2Hx4sV49dVXMTk5GdX17d69Gx0dHfjiF7+I8847D9u2bYtKcxCqjNeqVatgNBpnHQUa7bmFH2BfXx/y8/Nxww03wOv14rLLLsOdd96Jz372s7jnnntw7733zvio9vf3Y2hoCEVFRdDpdPD5fH7X4nK5ZORsqFJfSpRlwwYHB8E5lxoSj8eDJUuWQKPRpJ0meK5Ih/duLigpKcG5c+dQWVkp310iPJxzOJ1OnDt3Lm6NPQlwGcZsBoRMMbMlgoUycAoiJd2N1PdzIewG0wiVlJRgcnJSCkClpaWoqanBiy++KGuSCkFDaBOLi4thMpnQ0NCAd999F9/73vfkdiqVCkajEf/2b/8mzYjK63C5XPjGN76BCy+8EF//+tdDfmiC3Y9Q9ziaZ2q291d5biHA9fb24sSJE1CpVDh69Cjq6+uhUqkwOTmJz3zmMxgYGMAtt9yCJUuWwOVywWKxSKHP4/GAc47i4mKMjIzA7XZDr9cjNzcXWq0Wn/jEJ/yCHYK1XfmOVVVVQafT4dixY8jOzobZbEZNTQ3y8vLAOV+weePmy5gb6fkVGu/u7m45ASAio9VqUVpaGtZiEA4S4DKM2QwIiahtmSkkauBMRy1eqDYp006IaMgDBw6gsLAQXV1dM9ot+n6uhN1QWsKamhpZXkok5dVoNNBoNPB4PDKIQSTs1Gg08Hq9uOiii6BSqeB0OsE5h9lshtPpxLvvvovjx4/jwgsvlOZCca+OHz+Ozs5OfOITn8ATTzwRtE/D3Y94cq4l4v4q+1ewf/9+nD59GnfeeSdWrFghlz/44IN48cUX8fzzz2PRokXS/Gw2m5GXlwetVovTp09DrVZDpVKhuLgYExMTWLduneyfwEjVYG0PfMdKS0tlIMny5cv9+nih5o2bD2NutM9vXl5e3IIIER8kwGUYsxkQ4qltmQoBJhHnnI1PWKBZqKKiAiUlJWmhxYs0mAZqRkTUVqCvGfB+38cr7MbaT+G0hB6PB6dOncKePXswODgohQuVSiWdo30+H3Q6ndQeFRUVYcuWLSgpKYHZbJZ+V9u2bcPevXvR0tKC0dFRFBYWwuv1YnR0FO+88w4qKipQWVkp79+ePXtQUFAAt9sdMWnw1q1bY+77RE0mRP9u2bIFb731Frq7u7FhwwZ88Ytf9Nuuu7sbN9xwA55//nkYjUao1WpkZWWhpqYGPT09MorX5/PJMmZGo1FWcVAGcYRre+A7NjIyAq/Xi/7+fgBT/oFarTZoYEg6TIzmog3JqCc818wXLeJ8hAS4OWS2A4bFYsHg4CDOnDmD3NxclJeXIy8vL+oBIdbalqkwQybqnPH6hK1du1YW7xYmvO7ubuj1ephMJgCpHbiiGUyj8TVT9v2BAwdinhTE00+hktOWlpZi9erVaGtrk+0VTr1lZWW45ZZb4Ha7MTk5iYKCAhQVFcn1y5YtwxVXXAEAsj3nn38+WlpacPjw4RltUKvVuPbaa9HT0yNrlQ4MDGBsbAyrV6+Gw+GQQQmhkgbHSqK1MFqt1i+YI5CmpiaYTCYwxmR0qV6vR09PD8rKymSQgYjk7e7uhsFggNFonKFRDNd25Ts2MjKC9vZ2AFMmbgA4ceIEVq1aFbSmbSrcG5Tjr1arhdVqRUlJSVLbkIx6wnPNfNAixko6TDCigQS4OWK2g5bY32w2y6Lfp06dQmVlJVQqVVQDQqxld1Ix80rUOeP1CXv55ZdRXV0No9GIiYkJGI1GuN1u9Pb2wmQyJXTgCjZIiLaFGjiiGUxDpXRwu93weDywWq2y7wHENSmIpZ8Cr9NsNuP++++XJlGv1ysTxo6MjMBms0mft9bWVoyOjkoNkclkwgc+8AFpclUinu3PfOYzfmbjtrY2qXXq7e0FAL+/RbUHUf8zJycnbNLgWJlrLYzof61Wi+PHj2NsbAw+nw9FRUVYvnw5ysvL8cMf/hA2mw05OTnSh+3yyy/H2bNnUV5ejo985CMR2658x8S9BIC6ujqp+RXmWOUzMDg4CLPZPKfjSuD4e+zYMTidTuTn58NoNCatDYksdZYq5oMWMRYyyX+aBLg5YraCiXJ/vV6P3t5ejI6Owmaz4fbbb4/JlybabVMx80rUOSMNnKHOY7PZUF9fL/93u92yPieQuIEr2CCxZ88eMMZQXFwccuAINZhqNBrp6zU4OCi1LsqUDkajEZOTk/J4sUwKAoWwcD51ka7ziSeegMViwX333Sdrhvb19WHr1q3o7OxEX18ffD4furu7sWfPHpw7d05qx8rLy0Omtgh8thsbG+FwOOB0OmWZLVGGR9mnarVaauOA91ODRFM+KhrmWgsjnpGqqiocOXIER44ckesmJiZw9uxZHDlyBBdffLG8L++88w727Nkjtzt79ixqamrCtl35jtlsNphMJlRUVEg/qFA+lmfOnIHD4fDTaottDx06hJdffhk2mw1msxlXXnllxCTCQGSNSeD46/F4YDAY5MRM2YZEk+h6wnPNfNAixkImmYxJgJsjZiuYKPc3mUwwmUzgnMNqtSbtoYp35jUb9XMiZ3vhBs5Q5xGO8EajEeXl5Th9+nRYH6F4CTZIiJxcixYtkssA4NVXX0VeXt4M048YTPv7+8EYg1arRUFBATweD9rb26HT6ZCVlQUgeEqHaCcFgSWXDh8+jMnJSZw7dw6rVq2SH+xg/RTsOtva2lBTU4Mf/ehHcrsnn3wSra2tsm6o1WpFfn4+AKC9vR3Z2dkYGRnBVVddFfWzVFFRgb1798Jms0GtViMnJwdZWVkyfF9oV51Op7znQOJTg4SbTCTDVCOu+4477pBC0tjYGH72s5/hd7/7HQDg05/+NHbt2iX38fl8sFqt+Otf/4pbbrkFp06dQk1NTcSJkPIdC/XeBj4Dubm5cDgcfsKT0+nE5OQknnnmGdlmh8OBZ555BgDCCnHRaEwCx1+Rb1AI8cr2xkKmmNpmw3zQIsZCJpmMSYCbI2YrmCRSsIl20BG1KkdHR4OWLwp17Nmon+dqthfqPFdeeSVaWloATH1oIvkIxYtykLDb7ejp6UF/fz9UKhXsdrsUitxuN06cOIHzzz8fBQUFcDqdYIxJwaOwsBAFBQUyYrOtrQ1OpxNZWVkYGRmRpqpgKR2inRQ0NTXB5/Ph7NmzGB8fl0Wlh4eHcfToUaxevTqks3rgYOhyudDa2ir91gTKbOQ6nQ5FRUXIzs5GTU0NDh8+LP3ZPvCBD0R1fy0WC1paWlBRUQGVSoWBgQGMjIygvr4eGo1G9mlZWRlsNhs0Go0U7KJNDRILwSYTyTDVKK97eHgYY2NjsFqtuP766/HP//zPGBsbA2MMubm5fvupVCoUFRVh3bp1AIDTp0/jQx/6UMi2BxLuvQ30sSwvL8epU6cwOjrqd88HBgag1+uhVqthtVplOooXXnhBCnDBxq5oNCaB42d5ebmcMCjbEMs4k0mmtnhYCMJpMDLJZEwC3BwxW8EkUYJNrIOO+LCKfFmRyn7MVv08V7O9cOcpLS2Vy0tLS7Fly5akRad5PB6cPn3ar5ZmU1MTDAYDTCYTxsfHkZOT43c/i4uLYTQapR/Y7t27wTmX5lKhXeCco6KiImjkqbINkQaqoaEhDA8PY3JyUlZHEKY3r9eLM2fOYN26dUH7KfAcJ06cgMvlQlVVFXbv3i0/DB6PB8uWLUNfX58sSVVVVYV//dd/xdq1a3Hs2DHYbDYsXrw4qiLuyuewtLQUIyMj6OrqwsDAANatW+fXp4EfqrnSLiTDVBN43cCUZqy7uxvr16+PmOahuroaGo1GBiRES7j3KfAZyMvLQ2VlJWw2m58/5mOPPQa9Xu9XQs3j8aC3txcWiwUAgo5dExMTEc35geOnRqOR0cvKNsRy39PN1JZIgWu+C6fhyCSTMQlwc8RsBZNECTaxDDpNTU0oKSnB4sWL5TKHwxF2gEqE+nmufEZCnSfa889mwBSDRF9fHzSaqddQpVLB6/VKDZvD4cDQ0BBWrlwJIHSNycLCQhw9elQKgcCUwG02m0NGnirbAIQfqAoLC3HmzBn4fD55fJ/PB71ej+zsbFRXVwcNKgh2jjfffBOMMVxwwQV+H4asrCw/cxYAWVlBJIctKiqC0+mM6kMS+ByaTCbk5eXBarXOaGuqfJREG5X9ajAY/Pzx4j2mkljeP7VajcWLF+P06dMxnzvUfQz2nKlUqhm+u2azGb29vVCpVNI3knMua74CCDp2Wa3WGRUnAiciVVVVWLt2bVz+daGI514nWsgSx9JoNLDZbGH9Z2MhVuE01dq6RJ4/k0zGJMDNIbP9UCTiQxPLoBPPABWtVifVL/xsme0MVQwSv/jFLwBM3decnBzo9XpMTExgcnISRUVFKCgogM1mQ25ubsgakw0NDXj77beRk5MDzjk8Hg/cbjfq6upgt9tD+nJFO1AJMxUAGa3p8/mg0WgwOjqKrq4uNDY2oqKiAp2dnejt7UVBQQHWrl2LyspKXHrppWhra8PQ0BAOHz6MqqoqDA8PY2JiAuXl5cjOzsbw8DA6Ozuh1+thMBjgcDhgtVpRU1MjIwWB6LUcmWAGKSwsRF9fH7q7u6HVaqHX62UwidAyxvqeRJM+J9LxlixZErMGLhzRPmdXXnklnnjiCeh0OjDG4PV64fF4sHz5cjnmBLodiPqrer0excXFISciwrRcXV2N+vp6OJ1OtLS0oLS0NO5xJ9ZnLJFarXBRtSKaGohf4Ipl7I90XbMZ68W+nZ2dUkivrq72O4bSR9dms+HMmTNoamrCRRddhMnJybDnDdW2TAk8IQEuTUmWgBNu0Ak8Z7ACxZE+gtFodeaDej4R5pOqqiq/7PfNzc3S0V6r1WL58uUYGRnBiRMn0NXVJbVfgQEJW7duxcqVK9HV1YWJiQkYDAaZRFVZ5SBUGyK1t6qqCtdffz2effZZ2O12ZGVlQafTYWxsDNnZ2aitrUVfXx/++te/4qc//SmGh4dnHOOSSy5BVVUVuru7sWnTJhnhe/r0adTV1WFgYAB1dXWw2WzymauoqEBPTw+ys7PR1dUlNVSlpaVwOp1h35FMMIM0NDTg8ccfBwBpPgemghCEwBzrexLuuqN970pKSvDGG2/4mbhn+15G85ytX78e77zzDtrb2+FyuaDX67F06VI/AT6Y24FWq5UTl1Dm0GSYOyPd63h89aIlWFStKKlmNBqlf2c8AhcQm3Aq2iLe5+HhYXi9XnR3d+Paa6+VeTVjHeuVgpm4jvHxceh0Or9jCB9dMRHKycmB3W7Hvn37sGbNmpBJ2OfDd4gEuDRCOdsYGhqaUQFg7dq16O7unpVQF2rQWbp06YyH2Wq1yrQW0X4Eo5ltJ3Igs1gsePXVV6XGoLa2Fps2bUq6mj/aGWpg8lDOOex2u0xRIXxwSkpKpAYGmPJFAt6PiGxvbwfnPGRAwqZNm2T/JUNgWb9+PUpLS+W9HhkZQWFhIZYuXYq8vDwZwTo8PIyrrroKpaWlGB4ehs/ng1qtxuHDh9HW1oaCggKcd9558toAoKurC8CU4KD01+Oc4+zZszh58iQMBgP0ej3cbjdOnjyJioqKiBUp0t0MUlVVhaKiIoyPj0vhtKamBrm5uRgaGorbjOV0OmG1WqW2Qlx3Y2NjxONZLBZMTk5ibGwMOp0uaKWKZGrLb7jhhrDPcaDbgdA0a7VaP7/QQJIRWRjqGRPtjMdXL5BQY1bg9YjAD8YYCgsL4Xa70dbW5lfSTCAEnq6uLoyMjEjh7+mnn5Zm7VgmQENDQ1Cr1Whra8P4+DjUajXUajUGBgawZ88eLF68OK6xXjz/YvIqJjk2mw3V1dXyGENDQ7DZbH4uJB6PBwBgs9lQWloadcLzaNuWLpAAlyYoZwPCF0hEyuXl5WF0dBR79+7F8uXLZzVbCDXoBHuYS0pKZAqNWD6CkWbbiRpMLRYLnn32WfT390Ov14Mxhra2NgwPD+OWW27xa0OiZ1vRzFCV59RoNGhtbZUmyKysLDgcDmRlZUmfN9H3IpeWSFuyefNmv8Sowc43FwJLVVUVduzYAWAqcKKgoEAGtzidTtl/H/7wh2VuOq/Xi/r6eimk5OXl4cyZMzK/HgCMjY1h1apVQbW9BoMBExMTAOBXeN5qtWLJkiVhB99MMINUV1fP6FeHw4HCwsK4zVjV1dXo7+9Hd3e3X9BRNMdT3r9f/vKX0Ol06OjogNVqhcfjgdfrhdfrlUEGoo8vu+wyrFmzJuwEKhoiPceBbgfV1dUyejoW1w673Y7Ozk54PB40NjbGLZQGe8ZCCcrR+OopCTdmBV6Pz+cD51xOEgXBgs5EMI+IvhX7A/AbE6MdT4QPrjLIyev1yjFueHjYb2IW7Vgvnle73S4riohnrr6+Xh5D+Ojm5OTIfScnJ2f41YZLeB5r29IFEuASjMViwSuvvIIzZ84AmMpKfsUVV0Q92zAajfLD5fF40NPTg7y8PKmWTtZsIdTD7HQ6w5rg4iFR/klNTU0YHR2FwWCQMy9gSiAIvC+J1voJ02ZOTk7Imo/Kcx4+fBgTExNwOBxQqVQwGo1QqVRyNmk0GnHnnXeGjYiMNCOeS4ElsA8NBgPOnj0LnU4nPyRiufIDVlRUhLq6Oum0r9FosHLlSlxxxRVBr08UYFc6+VdXV+O9996Tzv6hgjsygXCajqamppjNWEajEXa7Hd3d3XJ7h8OBZ599VvoH5ebmoqysDCaTacbxhoaGsGrVKmRnZ2P//v3gnCMvLw+FhYWoqamRuQrVajW0Wi1GR0fR39+PZ555Bn/6058AAHfccQe+9KUvzUqIC7VvoNtBpPsiUN5noZ0CpkqxJdp0FmosNRgMsjxfNFrycGNW4HPjdruRk5MjJzwiitvj8cwYU4SmbmJiQgaMuN1u+Hw+ZGdnyzEx2vFE+OC63W5kZWXB6/XC5/PBbDZjZGREPjOCaMd64SMqrBIajUbW7u3v75dCoTBPK3M7qlQq6HQ6v4CgwPMG+w719/fDZrMl1H0gmZAAl0AsFgv27NmDgYEBmV+otbUVw8PDuPnmm6PWSokXUvigAVNCSWDupni1VsFmdTqdLmZ/t3DnCGeqTJR/0tDQkNQQCoRjfXNzs9/5E6n1E/dvxYoVsFgsM2o+iuv/29/+JqMfBwYGoNPpAEDmUDObzTIjvGhHqEEz3UyCog+F2dRms6GrqwuVlZWYmJiQ5g5hChaC3Pj4OLKzs6Uj+fj4uNTYhNIMiwoMPT09cDqd6Orqks+N2+0OGdyRzgOvIFK/xmLGEs93T0+P1FQ4nU54PB709/dDrVZDpVLB4XCgvb1d5shTHk981J566ikAQHNzM9RqtXx2heZUCAm9vb0YHx/H0aNH4Xa7cfDgQRw/fjypZqh4xg/lfW5ubvbT3gkS1eZQE1RR2SLadzjSmKXT6aQgqtPpUFpa6qfpEgEegeP96OgotFotXC6X1KACU2NnvFVvVq1ahZaWFrhcLmRlZcFkMkGlUiEnJweMsbiqmggfURHY5fF4pBtJd3c3tmzZIs9//fXXY+/evRgdHUVOTg5qamrQ29sLs9kcMs9f4HPU39+P9vZ21NXVZYxPHAlwCaSpqQljY2MwGAzw+XwYGxvD5OQkJiYm8Oqrr0rzUzCUL70oOO12u2VEnlqt9qvNCMSvtQo2qxOD/NjYGDweDzQaDXJycnDLLbfEdPxoTJWJEkYKCwvR09MjhV1gatAaGxubEU7vdrtx7NgxKTCVl5dDo9FEff+EUNbc3AyNRoOCggKMjo7C4/FI1b0Q3sT1ixJVfX19Mi0CYwyMMZmwt6SkJOp+TJSGLV5fwPHxcelXU1U1lZZh79698Hq9MJlMGBwcRENDg+yPuro6AJD1THNzc3HhhRf6+XGGyuqvRGkmF0JJbm6ufF5DBXek66AbyGyFdovF4lfPdmRkBCaTSY4fPT090Ov18Hq9qKurQ09PT8gyfMHypYlKFe3t7XJyKT7GnHNkZ2fjpptuAgCcPHkSNpstrolRtM9kvOOHuM9CMFKa5BNpOotUfiwa5/2mpiZ0dXWhp6dH+rwCU2O+VquVY8zatWvhdDoxMDAgta3Kc2ZlZc0Y781mM1wuF7xerzQ1ZmdnSxeOeCbtV1xxBYaHh/3cWZxOJ4qLi3HJJZfId16r1UKn0+HAgQNR9bPwEWWMSRNqXl6e1DAKhI9u4DMRaqwRx1c+RzabDXV1dVIIzgSfOBLgEsjQ0JD0cbLZbFKNOzk5iePHjwdNQKp8WQcHB2XggqgAIF6+66+/Hi0tLbOuzxhqVmexWGYk61UOcNESrakyEcJIQ0MDzp49i/7+fnDOwRjDyMgIsrKyUF1dLcPpRaoLlUolk9y2traipKQkbFUJgVIo45zD5XLhxIkTMJvNyMnJgcvlkv2rvH4hiHs8HqjVavkbmNLCeTwemM3mOY2OVEZ2DQ8P4+TJk3j11VdRVlaG5cuXhx1QP/nJT+K3v/0tbr31Vvz85z/HoUOHoFKpUFxcDGCqykJDQwNWrFghJy7ClKdSqWA2m9HS0oK1a9cCgHTUBxB2EDebzVJYVkbYejwe2Gy2kMEdmZ6qBoj8nijr2Y6Pj8var5xz6HQ6VFdX48yZM1K7kpeXJ+9RsDJ8gR+16upqWakiMMimt7cXIyMjsr4sAOmvG4sQEGzS9+yzz0oNdbC+m834kYhUK+EQk5vAnHPRHEN5LxYvXoyTJ0+itbUV9fX10k1Dp9PNGGOLi4vh8Xj8/JWXLl2Kffv2yfejvLwceXl5stbvkiVL5PvJOZ/VWFRVVYWbb77ZL6Csvr5eatfXr18fMt3H9ddfHzIfXygfUeX/yjYE3uNIef6U+wi/XiXp7hNHAlwCERohkUlcOHOK0OZAIUb5slZVVUGn06G7uxuTk5OoqamZUQEg2AwjHq1VsMHL4XCgurraryZkpKS9wZhLx9Bgg4YwzylNI6IW5rJly/x8qcxmc1TXphTKjEYj+vv7odFoMDk5KU0Eon+V128ymVBXVwen0ylno0IAnJiYQG5uLkpLS0N+IJIhgChD7jnn0jRx9uxZKVCFGlCtVisA4Pe//z1+//vfy+WMMdx4440AgJUrV8LtdmPz5s14+umn4fV6kZubKz8efX19MQfjeDwerF692m9CIQSQUP5QGo0m41MERIPy2RTaNiE8L168GHl5eVKLJszZQGSBRen3qpyYKINshoaGZMWPvr4+5OTkIDs7G319fWhoaIjrGoD3rQGjo6NYvXp11H0XS4nAQNNZd3c3ioqK8OSTT8JqtcJgMAQVMqI5x2xyzgWONfX19ejq6pLVTgKFstzcXIyOjsLhcIAxhk984hN+lgBltO7p06exZMkSGdmel5eHyclJ6ToTbiyKBmWQU6hrC5bu46mnnsLbb78tTczJcLeJhkzIHRkICXAJpKGhAR0dHejt7YVOp5NRW0JACxRiAgeu0tJS5ObmynxQgWpm8SMGkWjU0MHaGKy+aWAGeOEIPTIyIveL5hxz/RIoBw2LxYKnn34ap06d8nPUFn4Rot4n8L4AEA1Koay8vBwWi0X6eImf2tpaOagrr99kMsmZ7tKlS/0GoXAfpHiiZn/1q1/hL3/5CwoKCvDII4/4BXYor2V4eBharRZ2ux3AVDkszrkULp966in87W9/kwkz//M//xPHjh3Du+++i9raWnz84x/HiRMn4HA4kJ2djd/+9rd47rnnoNVqUVhYiLy8PGn+qK+v9xO84gnGCfdMhRrgg5mOIp0nE1E+m0rtmsViQWlpKYaGhlBTUwOr1SojFOPJDQdM3cO6ujowxmQgz5IlS6Qf5PDwsKwxes899wRt77Jly/C9733P75kInPQJk6+wZkTTd9Fch1L4ysrKgtvtxuDgoF/KpmPHjmF0dBQqlQrZ2dnIycmB0+nE3r17ASCqnGazCZgKvBfKCiLiWRdC2fj4OCwWC/Lz86WPomiPaEN1dbX0EdVoNOjs7ERpaWnIccRisaCxsTFs4tx4CUz3IYRHj8cjlQii/Xl5eThw4AB8Pp8sLyjcMFauXImysrJZtSUYDQ0N2LNnz6zdiOYSEuASSFVVFW655Rbs3r0bVqsVarUahYWFWLRokcxTpCSYtsrlcuG9996TxcsDc8A1NTXhtddeQ35+Pm688ca4NAvB6pvm5+fLF9Zut8tSOsKPK9pzxDJjCjebjVX7FMyUJBy11Wo18vPz/baPRahUChB5eXkoLi6WyWq1Wq006RmNxpBlg66//vqw/hiBxPMR+I//+A+cPn0aPp8P27dvx4YNG4Jei/CVcrvd8iOpVqvhcDjAOYfX60VnZyd0Oh1+//vf4wc/+AGWLVuGNWvW4Pbbb0dNTQ1WrlwpE6pWV1fLD8Pk5KTUvgQTvOIJxonkUxTMH+rAgQMJCfpJd0IJt4HlzUJFN0fKDRcoGIl7bzKZUFhYOMO0VVpaKiNTAxkcHMS+ffvwhS98wc/ZPvAahAZVOaGM1HeR3pdw11FUVOSn/RM5xITPsXDDePnll2XEeLBzCCJZIcKNbeEmK4FCmci5JnzERD48pSVACN3KKO1wwpswcfb09Ejt/MDAADo6OmakZgpFsNyXHo8Hg4ODMngLgIxO1ev1fgF0TU1NePfdd/GVr3wl5DlKSkpw7bXXRmxLrAS6EU1OTuKVV16Rpnzh2pQubhkkwCWYqqoq7Ny5M6qkqsFeVovFMqN4uTIH3J/+9Ce8/fbbAIC2tjZ8/etfBxC9ZqGpKXh9U7fbLUPchV8EAJSVlcU0g4zF8TrUjBmIPQN9MFOScNQW/oN9fX2w2WwYHR2FWq3G9ddfP6NNwQbWQAGitLQU4+PjqKurQ0lJiYxeEgLh2rVrcfbsWRw5cgRmsxkrVqyAXq9HXV2ddOwfGRnxK14fLlGnMk2G2+2WyTcDBxCbzYaGhgYcOnQIPT09Qe+TiIJzOByYmJhAS0sLAMjSRdnZ2Vi+fDlcLpccqADgG9/4BvR6PYaGhtDc3Iza2lqpXTz//PPR2dmJ8vJyvz4KJnjFE4wT6ZkK5vuSieaQeIh2whTKZyySsBFKMGpra5O+jMr9ysvL5fgUyAsvvIAtW7bg9ddfR1ZWluzLiooKvPnmm1LzId7P1atXy30j9V2irsNgMMjJt0Ck6LDZbKivrw95DkGkajfhxrZw/XngwAE/oay5uVmWtaurq/PLh6dsg7A8iP8jjaEnT56Ew+GARqORfnderxevvPIK7rzzzpB98N577+Hzn/88zp07h/LyclRVVaGvrw/AlOXC7XbLCPKcnByYzWZotVo/64/BYEBnZyfeeOMN5OXl4Rvf+AZWrFghNW4dHR3YunUrbDZbyHbES1NTE4qLi6Ubkd1uR2trK9xuN1avXo2+vj689dZbctxPB7cMEuCSQLRCTEVFhYziy83NhdlsxtjYmCxeLhgeHsbo6Cgeeugh9Pf3Y/HixVixYgX+/Oc/o6mpCevWrYuoWVCmtjCbzdK8CEwNUGfOnEFBQQGsViuGhoZQVFTkt024BKLBBJBAX7/Gxka/bcLNmIHgRavDCZChTElWq1X6c+3du1c6eKvVamkWUTrYioG1r68Pjz/+uMx/payCIXxFjh07hnfeeQejo6MwmUzIycmROeheeOEFPz+xYKjVauzYsQOLFy9Gbm4uPB7PjESdw8PDOHXqlJwRejwetLW1Bc1fNTIygpUrV+LQoUM4d+5c0HNWVb0fcn/gwAG0trbO2GZ0dBQf/OAHMTk5iaNHjwKYyo8karP29PTg2LFjyM3NhdfrxSWXXOKX8V95rsD3IN5gnFid1jOhlFYiiGasiVfjA4QWjMR2sQjIoipAY2MjrrvuOinAvPXWWzJZs4hqHR8fx8TEBPLy8qLqu0iJeru6umY8P+I6RO4voS0X1UMASBeJ4uJiGVkZ6Zoj5fYLN7aF68/Aa9RqtZiYmIBer5/Rnnief9HXwmdYeQ8MBoPMbRqKL33pS/jzn/+MoqIitLS0SE1mKK655hpceOGFYIxJAa2/vx9DQ0OyJFpxcTE6OzuxYsUKVFVVyYj/ycnJoMeMxXITuG3gMxJoyrfZbNDr9WGrO8w1KRXgGGNbAPwPADWAn3HOHwlYz6bXXwfAAWAn5/zdaPZNNdFEj7W0tKCiokIKaA6HAzU1NTN8l8bGxmCz2dDb24u1a9fiAx/4AJYsWYK//e1vePzxx/Gtb30r7MCpVI2LxI69vb1YunQpcnNz0dbWJqP7hC+CSKDa2toqBwXhBB2p5Fc09eYCnaqB92dfVqt1RuRUJBNKqA+RRqNBY2MjmpubpeAmKiMI3xYRHBIuEWpLS4vfde3atQv33ntv0EzngrVr1+Jf//Vfg64bHBzEV77yFfzud7/DbbfdJgNeCgsL0d3djQsuuAAWi0UKYsIXRKvVQqVSoa+vT34Qm5qaUFRUBJfLhfr6eqhUKnR3d+Oll17C/fffH3QgFYELV1xxBZYuXSozsb/++ut4++23/bQohYWFyMrKkvc2Pz9fpm8pLS2F3W6HTqdDT0/PjKz2wd6DRATjRCLaSdR8INxYMxuNDxD6vaqtrY0pKS0A1NTUQKfTYWhoaIaFAQDWrFkjtxXacqEFipR6QjkZ1mq1UoMkJjqDg4MyV5ryOkpKStDe3g69Xi+vQ/iLCd/Z4uJiqFQqXHnllVJjLbYdGBiA2Wyekfh18+bN+MEPfoDnnntO+lKdOXMGtbW1KCoq8mt74NgWqj9FX/X29qKrq0tWJ8jKypqR1y+e51/0tdI/UdzPcOMcMKXJ/MMf/oDrr78et912G7q6utDa2oqsrCwpYK5cuRKcc/T09OAHP/iBzEenrDzT3d2NiooKjI2NwWQyzRCSxLGEwK8klijXYO9F4DMSaMoXwW9OpzNtkoenTIBjjKkBPArgGgAWAO8wxv7IOT+u2OxaAMumfy4E8GMAF0a5b8qIZhagFBjEAyMKNQcOjMLPAQDuuusuWK1WuFwuXHfddXjyySexf/9+fO1rXwvZHmX0j8jj5PP5cOrUKTmjEWk37HY7rFYrTp48icnJSfzud78DABQVFeGdd94JWvKro6MD/f398Hq90Gg0fqr2UDPOYGVlxOxLCLDKyKlIOduCfYj6+/sxPj6OU6dOoaurSyYkFcXixccjMHq0o6MDY2Nj8Hq9GB0dRXl5uV+GcgB47bXXwDnHpk2bpAOx1+uVfo9OpxNf/OIX8YEPfCDoszE4OIjrr78eTz/9NJ544omg1yRSb4yNjcHlcsn2l5WVYefOnfJah4aGZLBJQUEBSktL0d3djX379uHMmTP46Ec/GvT41157LTZt2oTR0VGcPn0aDocDV111FRYvXizPxxhDTU0NOjo60NfXB5/PB4fDgdzcXExOTmJ0dFTmZQMQlVkhVm1avNG4sZ4n04h1nAFi0/gAobVJwtUhcD8AM7Tt4lgqlQqlpaXSrPbss8/i2WeflUFbyonr6tWr8clPfhJXX321HG/ERz7YJFFMhnt7e9Hb2wuv1ysFL2FGPHDgAFpaWqBWq2UggHAd4Jzj2muvlSmc9Ho9TCbTjOsQ9YBbWlrkOKrX64NOYF966SV0d3ejsrISw8PD+PrXv47LL78cH/3oR2E0GlFYWAi1Wh1THsi1a9fiqaeekil1BgcH0dHRAa1Wi76+Plx11VUYGBjwC3qL9hnSarWwWq3IycnByMiIDGzKzs7G2NgYsrOzQ1Yo+O53vwudToctW7bI2sXl5eXweDzw+XwoKChAVVWVzHZw0UUXobe3F5/85CdlGi2HwyGtDsPDw1IrpxRws7KyAATXwAWLclVO0iMFmlRUVODs2bMYGBiQrirCOtba2gqVSiW/x+mSPDyVGrgPAjjFOW8HAMbY0wBuAqAUwm4C8L98Svx/mzFmZoyVA1gcxb4pIdqorlCmCavVGtTs9Nprr0Gv16O6uhp6vR7d3d24+OKLcejQIezbtw8/+MEPQrZJGXmonF1OTExgbGwMa9eulabSr33ta7K4uOCmm27Cc889h+9973vQ6XTwer0oKCiAy+WSs12XyyVzEZ04cULmvAt1nSIrv/jf6XTK2Zderw8aORVtpnWlSvzHP/7xjFIuWq0Wl112GVQqFVQqFVpaWmQJFp/Ph7a2NgwODsLlcgGAzHX22c9+VvaxyJt34YUXwmAwyBxxExMTqK+vh9FoDCq8iWcDmJrxfvzjH5ezXGBKAFqxYgWWLl2K//3f/8WpU6dgMpmwdOlSjIyMYGBgAGfOnMEzzzyDV155RQqNf/zjHwFMRa0JR9vBwUEsW7YMv/rVr0Let927d6OkpETec5E/TOSUWrp0KaxWK/r7++FyuVBSUgKbzQafz4eioiJkZWX5JXxNtFkh0TVs5wuzHWei0fiIdZH8D2NpU01NjQyQev311+Hz+bBo0SKoVCoUFBRAp9Ohs7MTf/3rX3H//feHFUB1Oh2OHz+ON998ExMTE/B6veju7sbExATKysrgcDhw+vRplJaWwmaz4ciRIzh16hQKCwvBGIPJZMLExAQ0Gg1Onz6NdevW4fLLL5euFyIIRAg5zz33nLSWmM1m6X/W3d0NvV4Pu92O/v5+/OpXv8KSJUvQ3NyMLVu24NOf/jScTqdMv/P6668DADZt2oR77703JtO+yA2ak5OD9vZ2PP74437rf/SjHwEAfvjDH/ppNANxuVxobm7GO++8A4PBgGuuuQYajQaMMZSWlsqAJiEweTwelJaWBg2sa29vxy9+8Qts27YNZrNZCui5ubkYGhqS2n1R23np0qXIycnB0aNH8fe//x2LFi3CwMCAFGIdDgdsNpuf5kusExq4vr4+v4lCRUUFmpubZV5Ck8nklwc0mkATvV6PyclJ+S0QAS0iObywZKhUKhnlzhhLafLwVApwlQCUkoIFU1q2SNtURrlvSog2ejCc70mwAdXn86G8vFwWBhY54i644AJccskl+M53voOvfvWrQdukjDwEpmYxKpUKRUVFcDqdUoMETJlrN2zYgNtuuw2XX3458vPzodfr8cYbb+APf/gDbr31Vmg0GgwODsqZs1qths/nA2MMnHOcOXMGjzzyCFauXIkjR47Il6KgoAA5OTnSb6OsrAwnT56UmeNtNht0Op2sVOD1ejEyMuJXkimQp556StZgVDI2NoY9e/agtrYW99xzD7q7u9HX14fXXnsNbrcbL7/8csg+zMrKQmlpKUwmk0y3ceLECTz22GP461//issuu0yaYw0Gg4xI1el00Gg0IQfkwEALn88ntZZiBg8Ad955J6qqqpCVlYW+vj6Zs21kZARWqxVjY2Po7OzEuXPnwBiDwWCAWq3GypUrsX79euTn56O5uRlerxe1tbVBE0grnw2HwyFz1vX29mJ4eBh5eXlYs2aNrLCgUqlkKRth7gXeNysIPxkgsdGes0nJMF8R6XJEWgXhZgDENs5ESyQTrRDuBgcHYTabw/bVhg0b8Oabb8JisaCrqwtr1qzBli1bZJb9ZcuW4cSJE/jWt74lHfKVH9qmpiYMDw/j2LFjuO2224Ka0gSMMWzatAnr16+Xuerq6+vxhS98wS8rgMPhwJe//GU899xzOHToEHw+H1QqFX72s5/B6/XC7XbLnGmTk5Pw+XzQarXw+XwwGqdqGjc2NuLgwYMz2tDQ0CAFiVtvvRUXXHABdDodvv/976OnpwdGozEm0/7Q0JCMIBeBSh//+Mfh8/lQX1+Piy66CDt37sSDDz4Y1fEEWVlZ2Lp1K4qLi2E0GnHDDTf49WtlZaVfhYLe3l489dRTyM7Oxl//+ld4PB6sWrUKIyMjqK+vl+bFwsJCObEVE0KRI8/r9eJjH/uYTMKuUqnAOYfP55OTZyH0ifFUCJQtLS1YtmwZ9Ho9zpw5g5dffhktLS3o7OyUJmCtViu/Sb///e/x1a9+FTqdDmazGTabTU5+BSKtkkhG7fV6ZTuEsA5AJq5mjOGmm27ySx4+16RSgAuW5j/Q0B5qm2j2nToAY3cDuBuYmv0lm2gT2cbqZNrV1YUNGzZI05ng4osvxm233YbvfOc7GBwcDFo9YWxsDCdOnAAwVe/O5/PB5/MhJycHV199NVpbW2EwGJCVlYWJiQmYTCZs375dDiqNjY248MILsXfvXrz44otSuFq0aJEUrDjnGBsbw+nTp2UdxdmyYcMGXH/99cjOzpblYwI1DN/61rfkLDuQa6+9Ftu3b0dfXx8KCwuxbNkyrFixAgBkJJQoqVNcXAyXy4WmpiZ4vV5pvszOzkZXVxd+85vf4NSpUzh06BBWrlwphSYxIIyPj8PlcmHlypUy+3ggymdDVGkwmUyw2+1+kbGB5iuz2Yz29nYpCN9+++1gjCE3Nxe33HKLn3+H0AyKwf2SSy4Jmw9LmE1KSkqQl5cnNaoVFRV+OfPEB0w4lk9OTsLlciEnJ8cvOz8QWkCIxxSayMTQ86Eyg9ByCf8spZuB0HgoSVQwR7B7B/hHi585cwYOh0OaH8U5lW36wAc+AM45WlpaMDExgYqKCixfvhzj4+M4ffo0Dh06JDVkX/rSl1BbW4sdO3agqKgIvb29+PKXvwwA0iftU5/6FM6cOYOJiQl0dHRIq4LQGr/88suYmJjAhg0bMDw8jPPOOw/t7e2ora2F0+mUJtqbb74Zf/7zn+XERPh99vT0wGaz4fjx4yEd5wVr1qzBBz/4QQBT78DSpUv9UvkIs+LOnTuxb98+6UMcqRqJksLCQng8HjkhzcrKkrn5RBLft956S2o5lQwMDODgwYPS36+npwdZWVn4r//6LymoiP5SCu2BFQpGRkbQ1dUlc6W9+eabWLlyJYqLi2Gz2VBYWCj9c4H3Kyds3bpVpq255JJLcOrUKQwPD2NsbEy6yOh0OoyNjWF8fBxlZWXo6uryq2Ihqhvt27cP+/btC3qPlD6G4nuoUqmg1+vh8/nQ2dkpxzmxTq1WyzquY2NjcDqdUmATxxEmZWG5ASCjYVMV4Z5KAc4CQKlWqQLQHeU2uij2BQBwzncB2AUAGzZsCO+JmQDEjNftdstZiEajmaFBEqYJ4U8BALW1tUGPKaJEGxoagvogfPvb38bx48fxm9/8JmS7PB4P3G63nO2Ih/ell16ase2aNWtmqJvXrl2L5uZmdHZ2ypmJxWLBHXfcIf1IhoaG0NLSgqysLHziE5+QvnsihF1oa6688kpZfknJwMAADh06BL1ej9deew2vv/46+vr68M///M8hNS92ux233nprUD+ywI+dXq9HQUGBrAvJGENhYSE0Gg2MRiOys7NRWVkpa89mZWVhcHAQPp8Pt912G9rb27Fv3z6cOnUKExMT0Ol0sqRTbm6uHEBDERjaX1dXh66uLpjNZqxbty5ouSBR0UCtViM3Nxd5eXnQ6/VS+9nd3e0nwDU1NWHHjh340Ic+JNX7Xq83bD4sxhjcbrcchAIjRTUajQylFx9m4WRuNBr9svMHzpgD+yJWU2ii0oHMF1Os0EgKLYwwvff09AT1E01EMEeoexeYLDk3NxcOhwO9vb3yOQnsKxFh/5Of/ET+L/yORFLx+vp6bNmyBXa7Ha+++ipaW1vxhS98AceOHQMA3H777di4cSMKCgowPj6OD3/4w1IgFNoz4cP53HPP4a233pK+WFVVVdBqtbBYLHKc27x5M4qLi7FixQo/4VQZtX/u3DloNBq4XC75YdfpdJiYmIDBYIBKpUJ+fj7cbjeWLFmCzs5OAP7lCJWpRETQWjTPYnd3Nw4dOgRgKvjp8OHD4Jzj3LlzcgKqnPjV1NQEVVY0NjZi/fr1flGsIoDE5XLhueeeQ09PD7RaLQ4fPiz3E3W5RX1jEUSVlZWFY8eOYWJiAldccYU0e4YLbhETMrvdjg984APQarUYGRnBxMSE9N8VJlgRWBdYxeKBBx7AyMiIvLeib7xeL6644goMDAxIJYUoYVhSUoJFixbBZDJJq0ZFRYVfWqmSkhLk5+fDaDSitbUVPT09UlBTPlviR1leLlUR7qkU4N4BsIwxVgvgHIDbAdwRsM0fATw47eN2IYARznkPY2wgin1TgsjmPDAwILU0TqcTvb29+NWvfuWXvwuYcsasr6+XD3uwF/ntt9+WEYrBXvjFixfjyJEjEdumnEXn5eXBbrfPSHaqUqnwoQ99yG9ZYeFUibAHHngAWq0W3d3dePfdd/Hqq6/C5XJhbGwMv/3tb/3uQXFxsUyNodVqsXz5culbsn379pBtvPzyy9HU1ATOOQwGA/bv34+//OUv+OQnPxlU82K326X5KBClACTMTVVVVRgdHZX/j4yM+N3r8vJynDp1Ci6XCzU1Neju7gZjTGouAcgACWBKkybMMZE+ioHaEK1Wi9LSUulLEhhlJ/pLzPJMJpM0IWg0GkxMTMy4H2KAVM6Yler9YCZJYTbZunWrPOfExIQsKRQsk79KpZKF0EMliVUSryk0URqk+WKKFf0rNLgApE9rqPsy22COaHOoiXdndHR0RsUHQUNDAx599FG88cYb8Hq9yMrKwsjICHQ6HXw+n8x1+I//+I8wGo3Q6/X4h3/4B/zbv/0bCgoKoNFosGXLFr/nu7u7G5s3b8aZM2ek871Ig7Flyxbs27cP77zzjrwXnHOMj4/LMTjw/igFVjH5FBoqnU4nJz3iI+71eqHX66HVamU9XlFvNFi6HHE/XS5XVJUm7rnnHjz//PNB++bqq6/GJz/5yaj6N1CbXVZWJoUtYTURAV7Kib1IxBvKXF1XV4fa2lqMjo7KesqhxgMxIevt7ZVmaJfLBbfbLS0R4ptUUVEhfdiefvppFBUVobCwEOvXr5eTbgBobW2Vk7zly5djZGQEp06dks9CUVERVCoV2tvbUVdXJ6vBlJaWhgwgFIFgwkdS3AcR8CKeC+Ebl6qJYMoEOM65hzH2IIAXMJUK5HHO+THG2L3T6x8DsA9TKUROYSqNyCfC7ZuCy/Djl7/8Jb797W9jZGTEz3auVqvhdrvBGJNqXCHNA+/b1IEpX7evfvWrfoLV4OAgAGDx4sURX/hwZqJofVlee+01v/0Ci8ZrNBrU1tbi1VdfxenTpzE2NibD1wsKCnD11VdjYmJCztpEtGo0mhNlG88//3w4nU68+OKL2L59OzjnfvtzzmG32/3qngY73u233y7Dy4XfmEgo293d7Rc6npeXh8rKSthsNnR0dIAxJn0GRT95vV6pwWtra0NxcbFfuZVwufECtSHCJyRQu7F27Vq53Gw2S2FNmHaE+SLwfkaT10utVqOrq0tqREtLS+F0OmfU5hUfnSuuuALAzIjDaJ4rQbym0ESlA0mkKTaVBPNZFB+9ZH1Eos0Fp3x3RB6vwL5ijOH+++/HjTfeKB3wlb5IOTk56O3tRX19PYaGhrBz5068+eabuP7663Hq1ClZoUbZDmHyW7FiBY4ePSo/ssCUf66IiB8bG4PRaARjDKtWrZohtAXz5auoqMDp06eh0+ngdrtlBKswuQnNTmClHVFv1Gg0znhuDxw4gOzsbD+ByGAwoKurC3/84x8xODjoN26MjIxg/fr1UmupZNWqVX4VK8IRODaYTCZUVlbK9VdeeSWeeOKJoP7GYmx48cUXMT4+LjW/WVlZWLp0qYzODJYHVImYkIkUIqKcYWFhISYmJmROzdraWqlkECZyp9OJnp4eqNVqOfEUE2Gr1YrJyUm0trbCbDZDpVJh9erVsNls8jvkcrlw7NgxKVQrJ/+BAYROpxP19fVoa2uDz+dDVlaWTLEiNK95eXnS8pCqSWBK88BxzvdhSkhTLntM8TcH8EC0+6aa/Px8rFixAmfPnpUOlMBUYlSfzwfOucxC7/F4ZK6bwCLdbrcbixYtknmGcnNzUVJSIvPPmEymoB+feM1EFovFrz5qT08Pzp49i4svvlgmrxVZs/v7+5GVlYXKykpUVVXh1VdfBTBl/r377rvlQDYyMiJV7waDIWY1s8jrtHTpUrz++uv44x//iA996EN++zudTni93pAaOIFSE+fz+fzqpAJTM3hRD1apXTpw4AAMBoMMSxf+McIfQgQxiBD5aPogcHALVcpIWbanrKwMIyMjsrKEMH0WFxdLLYL4AHV1dWFwcFDm5gvUgmg0Gpn3T5hiT548ifr6+hmaFo/Hg76+PvziF78IauKNhdmYQhORDmS+VGZQaiSFz2KkurqzJZZccErNbDiqqqpkuh1hxjObzcjKyoLT6fTrm/POOw8nT57Er3/9a7+AK+D9JLy7d++WORPz8/Oh0Wjg8Xhgt9vBOceaNWv8NGFiUgLMfGfPnDmD8fFxGAwG5OXlYcmSJThz5gx6e3uhUqlkXkplnUzRJ8K1ZGxsDKtWrQr6zgi3DafTiePHj6OnpwctLS1oa2tDX1+fHGeUfPjDH56RyyxWQpX5u/jii+H1evHHP/5RppUKxc033wy32422tjZpVrTb7dBoNFE9g8qxuLu7GxqNRloWhCCqVqvlmN7R0YHx8XHodDqZVHdsbAx5eXkwGo3o7OzEyMgI6urqZFoj8ayWlJTAYDDg9OnTcLlcUiMnshsI31GRLDpYAOGjjz4qn0dhTRKBFnV1dcjLy0vpJJAqMSSQG264ATfccAMaGxv9Brzm5maZkFKoeHt7e3Hu3DmUlJSgurpaChNiP1F0vru7W0bEDA4OYmJiAmvWrJGFw5XEayZ69dVX0d/fL9N7uN1unDt3Ds8++yzWrFkjBQatViv9vCwWC9atW4eOjg7k5+dj48aN0uQJQM5ORNh7LNFWyrxOer0e5eXleOGFF/DQQw/57f/ee+8BAI4dOzYjgWwgVVXvF1e32+3o7e3FmTNn5DUrZ8pLly6VwpCYzQufM+B9rWpWVhZWr14tZ5Hx9EEo7YaybI/JZMLy5cvR0dGBoaEheDweVFZWIjs7GwcOHIBGo4HNZkNxcTGqqqqg0+nQ3d2NyclJ1NTU+N135WQh8G9lW0Q9XGE+mK3PWKorI6T6/IkiURrJWIg1F1y0bampqYHD4UB5eTlOnz4t/ZWCRXJnZWXhmmuuwf79+6UGRZSwq6urk4KXMGmKPGmrVq2C3W4PqgkTiPxhQivtcrmg0WjQ09Mjq7osW7ZMaoWCWTc2b96MV155Be+99x5ycnKwcuVKaDSaoO9MQ0OD9MP9l3/5F3l9tbW1Mi0RAKk5Wr58ObZs2RLVPY1kgQn27Hzyk5+MeNzAca2yslJWcamsrER+fr5MrxSNEHfllVdKl6LR0VFZ7UBEzYs+HhoakkIzY0xq/gYGBnDvvfeisbHRr5YtMDVWib4UAvjRo0fh8/lgMBiwaNEi6QIjhMhQY4F4RoVfnDJnoTCjpnISSAJcElBmBc/JyYHP58Po6CiMRiP+/ve/S9OVmIEeP34cBoMBHo9HRiKKl0w4y7tcLnDOZdJVUbpIifgAK7NEK+vMhUJUW3A4HDIBosfjgcvlCpsA9NZbb51xLOUAoUx3EguBSY5vv/12fO9738O+fftkVJfFYsGePXsATL2wR48ejVhwubCwUDqwarVa6YAKwM/vTMzGFy9ejJMnT0onfmGWyc7OloNBoBYnVlNdKO2G2Wz2M0+ZTCYsW7YMa9eulR9UrVaLvLw8HDt2DE6nE/n5+TKPU25urvRrU+J2u/3C/IWjsNvt9muLcGYW7Z+tz1gqBI90On8iSYRGMtbzRZsLLhbEc5ydnS0DekQpwVCR3FlZWWhrawMAWcBduD+IIAq9Xi+jIEV1m8D3QImIBhVjgtfrlWkmlL58kZJTm0wmnH/++X7vMjDznamqqsLXv/51rFmzBjabDbW1tTIfXqA1xmq1zsg8EArl2KXRaHD06FG8/fbbfvcz3mcncFwbHR1FUVERvF6vjOx3OBxRjQ9igi4EIJFzbdmyZTCbzXLsEsJbdna2zP82OTkJm80WsUSaMs9obm4udDodDAaDrBkrTPUiECvUWKCcvJSVlclnr6qqKqXBCwIS4BKMUnskIlxEygVhshICnXhgWltbZUi92WyWEVVCNa1Wq6FSqTA5OSlVyMEGk1ACisPhCDkzslgs8jwiyqq3t1cKk4F+AuHUxYlK0xA4WFx22WX4xS9+gccee0zW4zt9+rSMVhJq/4GBgbAFlxsaGqTfjSgkD0wJ3GLgUQqPRqMR9fX1cjYn2vTTn/4UarUaS5YsmfECx2qqC6XdCFa2J1Q9RY/HA71eLzUGYp9gfSXaFxjmbzKZ/NoihHllDj6Xy4W2tra4+3euBY90O38mE8u9i3YcUAqGIrVDZWVlUJ9WpXCydu1aOJ1OHD58WAb1AMGDKPr7+1FQUBCyggAA6aMrJixiAuv1ekP68gUjlsnb0qVL8aUvfUn+H2i1Ee2KRbsjxgWPxyMToefk5KCrq2tW2nOLxYLBwUGZS7SsrGxGmalw1xqqnUuXLpXtFMKqVqv1a+eTTz4pNV+iP3w+H4qLi8OWSKuurpbBFKLsGAD09vYCgMzxuXz58rDCPTAVuCIEN2H5EInOUz0JJAEuwQQrkXX06FGZw2t4eFja+4Xvh5jJKGeNoh6oQGTJBiCjKQOJRkAJ1l6z2Qy73Q632y1zHYlghWB+AkpiqYuq3D7c4B4oBGm1WnzkIx9BY2OjjI4SYeSlpaWoqKiQg2+wgsvKc3o8HhlJJiIslfmzAgdhk8mEvLw8WK1WfPrTn0Zvby8cDgdycnJw+eWXBzWPxGKqC6fdCFUz9MCBAzMcuUUaEIHSN0h5n5Xa4dzcXOnwG1g/UTxrdXV1AIDDhw9L/0e1Wp2xaTiI5HLo0CG/58vj8YR9TsSygYEBFBUVSX/ZwH2CuSbk5OTAYrFIv+LAIAoxZmo0GqmdC9YWoa0RJkvxu6KiImrtFzA7P8tEmPjF2NXW1iar7ogkuoGlAKNFCM4i16XD4UB7e7uszawMeIj2WkU7jUajDMQRY5cwy4sqCxqNBnl5eXC73RgeHpYauUWLFskgk0AfZnHflM/WkiVLcO7cOdl+Zd3YSNeunDSMj4+H1A6nAhLgEkywWZiIXhICWmB0ZrCZjCjPJKJ1AMiw+1D54oSf1/j4eEgBJVh7ly5divfee09mohaJDUUkbCg/gWB1UUW91WCZ4aMNsgg2mF1yySX4yle+Irf72te+JhPpCoIVXA48Z09PD5xOJ5YvXy7bqPRjCDcIV1dXh63gIPogVlNdKO1GqOWBbRSqfYPBAM75DN+gwMjWiooKWRLI4XD45ZAS5xR9MDExge7ubtjtdjl4njlzBnV1dXF/FIj5icViwd69ewFAJhkW+bbCPSfR+I0GG1eDpepQBlE0Njb6RYeGcgOorq6GTqeDzWaT42ZxcXHQ5ODhmI0QlggTvxgXxDUAkL6A8UZcB1aP6enpwfDwsEyBIsouimCaaK41MB+mMKWK/gnMU5mVlYXy8nKMj4/DbDb7BaAJq5bQkNXV1YUU/EX7RTBYpGCbTEg9RAJcggkmACiLNIv8TSI60+PxSJWvwOl0oqamBhdddBH27Nkj8w7l5eWhsLAQmzZtCnn+6urqGecP52gp2rty5Uo0NzfL5IcmkwmLFi0K6yegfMDFoOHxeKQpL3DQiPaFiGYwq6urQ2trq3RsdbvdmJiY8DMNBjtndXU12tra0NnZidWrV88YZBMxE062qS5YPrni4mIUFBTAarXCZrPJ+o89PT0wGAwwm81+ka3K/EeByYDFNaxduxa///3v4XA4ZEHq7OxsmaRapHogCACyiomY+Ilxz2azyWCYYERjegw1roZK1RHtcYH336fq6mq/d15EeEdLpHErkvUh2nEj1HHEdQhXGJGgu7q6Ou6Ia+U9FBPe8fFxaDQaLF26FBaLBSdOnMCqVaui1saHG2ODfSNKSkpgNBpx4YUX+j0DdrsdbW1tMBqNfmN5uPaLsldWqzWhJvFUQQJcggn2cObm5oJzDofDMSM602QyzUiSqlQBB5rRIvkdxSqAKB2JRRFjYCrnnEhTEMpPQPmACzNeuLxvobSTzc3NQXOmhbvOK664wk+LpNVqUVJS4pceINg5RTBAR0dHUP+WQL8cEUgQS7mbZBPsQ6EM3nj00Uf9nLKFJmR8fFxGtgpCDUjCl1On06GgoAADAwMYHR2FTqeTJmhlZvlML1FFzJ6hoSGpeRPCm0gyHDixUhKN6TFcJGykoCWlZs1sNs/QrCUywCXUuJWoSiCRjiOq+xw/fhw5OTmora2NSTsWSGDf9PT0yDJ+ZrMZZrNZro/2OsLd70D3EOD9MUqUPRPLRLWL6urqkPlRZ2PWzoTUQyTAJQjlRywrK8uvNNHNN98M4P1w+8DozHCZ7GPV5sQyGAVm3RdUVFRIn5FwL77yAQ/ULAbbN/CFEDMokUstVr+5m2++OWZ/OmDKKXXdunV+lQcCqyAAkf1ykk28SZkDnbKFhtLn8+HYsWPSrCKqSAQbkAJLNplMJgwNDWFkZETm2RofH8fSpUvnRYkqYvYUFr5fpxOAnMyJBK+hiDTpFO+B0+mE1WqF0WiUUfjhnrGKigq89dZbsvan8C0O1pZka80TZY6LdJyqqirs2LHDb+yIxtk+klYPgPTbVqvVKCsrk/vGo5WK1j0EeF9oCvy2ichVZdBLYFtmY1HJhNRDJMAlgGD1JYPNDkO9QIkePMIdL1jC16qq97PuX3nllTJ5b6SZaGBS0Uh53wJfiGhmUNEkxg1HuJcw3LFT7f8wmxl7MKdsEZzidDr9/EYCq0gIAks2abVa5Ofny+LTIjVBqu8TkT6Id03pYynSIkXyAQ016VS+B8IUKMybkZ6v7u5u1NXVSQ2c0ul9tklxYyVec1ygYNXZ2TmjUkKo6PBo379otHqiDULzphSaEqmVCkzBlZ+f7xdsoLwuEbmrJLAt8WpXQ5UUTHXUaSAkwCWATPmIKV9U4SvQ3d0NvV7vV5UgUli1IPDliJT3LZ4Z1GzvbTiT6MjISMhjp8r/QQwcIvlzTU1NVPUSlQRzytbpdMjJyUFNTY0M5AisIqEkWMkmkepG6fwbzuRBZDaxmsaV75pGo8GKFSuiNqeHEjhm8/4PDQ2hpKTEz2SqrAscL/G4DMRjjgsmWAkLj7imkZERnDx5MqIVIxzRaPUCJ9TBarzOlmApuJxOZ8gJQLQaslgVJMr7LuplDw8Py2jndIIEuASQqNlVsn2HlC/qxMSErLrQ2dkJnU4na73F0o54TLyhZlB2ux2dnZ0ySWNDQ0NCBKlQJtETJ05gxYoVfoOqOHYq/B+UAwcw9bFRpnGJ9rqDOWUfPnxYln4RzsjCmTfcMYDwJZsywU+EiJ14NcCRxoNYx7zZvP/JeDbjvS/xmOOCCVaBaTNEFGg8Ez1BNPdY2W86nQ4ejyemHHnRECwFV19fH15++WUcOXIEhYWF8vrF87N27dqoLUaxtsPtduPMmTPQarXIzs5GZ2dn2rmHqCJvQkRCVFRQEu3syuFw+A0EFoslae0cGhqS4eUi6MDr9WJgYECa20T5l2S2Q9DQ0CBzC42MjMiKEIsXL5b3QxkUIYhnEFYODmKgE3mkgh1b2TYRgBJPZFq8bTQYDDLCtqenx69tFosFjY2N2L17NxobG2dcg9CEGI1G6TO0cuXKGXUkw93HYMcINnCl4j4RySfY+yLSxsRLPGNePGOrIBnPZrz3Jdr3SYlyvBaUlJTI0lFWqxUejwf19fV+9aBjneBGuseB/abVajE5OYmrr74aW7duTZgwE3i9IyMjspRkQUEB+vr68Mwzz6Cvr08+Py0tLWhoaMDOnTsT1hbRjt7eXplPTwits30HEg1p4BJAomZXYnmo4IbZauiUM1JRf9But0tnd7fbjbq6Omi12qhncLNpo9Lk0tzcLMs6KU2qbrd7RsHseFT20eaRUkYAz3XpJWUblb5noppGqKCBZ599FmazGR6PJ6QPjBiEgejvYzTa1VTcJyL5JMOFIB5zaKpzqwUym/sSq7UilAaxurpaurlE4wcWiUj3eK5chAKvV1RNyM3NBWMMNpsNer1epklKdjuEvzAAGZyXbu4hpIFLAImaXSkfjmRo6JQz0tzcXFRUVMjkwFqtVtaJi/YhTUQbq6qqsHXrVlRXV2P16tUz/OE8Hk/M9zYYwWaZyjxSwY4t2pbI2V20bRS+ZwDkTH/z5s1+QSKMMXg8HvT396OrqytsH8TzjEbLXN8nIvnMRvMVikhjXjBm+9wqn01RWimU5joaknFfQhGNBjERWsZI9ziefouHwGsRJdHKy8sBQPrtKu9/Mtuh0Wjg8XjgdrvhdrtRXl6edu4hpIFLEImaXYmHIxmznmBBBx6PB8PDw3A6nXLGEyq1RCCJbGOk8PHZCgXx5JEKJNk+i8ES9JaWlvq1MTBooKenB3q9Hh6PJ6IPTKKjnYn5SzJSKMTik5body1RediC3ZeBgQGYzeaw9VbjubZoNIiJ0jKGGxvmys81VMSrsr7zXLbjlVdewYkTJ5CTk4O6urqg1YhSDQlwKSLSAJmsKMjAiKKzZ89GnVoikES2Mdk5d2Y70CXqAzDbNgYOprMpKk0QoUiG+THadzwZ71qoyearr76KvLy8uCJtRbJszjm0Wi3y8vIitjXWawsmWAUTAKPNHBCPYDyX+dDCRbyazWZYrVZUVFTMSHqfjHbceeedfvfLZDKlnXsIC1Y/cr6yYcMGfvDgwTk/b6iXJtzLJHwbAktiGY3GGS9rvLNVcQ5R/koIAzU1NdixY0fU+0fTxmhI54z+ib7WeFF+AAwGA44dOwan04n6+nppfk5FuwgiGiwWC1599VW0t7cDAGpra2cUB0/Gu7Z7924UFBSAMSaXjYyM4MSJEzj//PPj1srH2lbl9na7XdbmzM3NjVibE5j5/sfS5mD7Cu1hoP9ssH1TMTYHnjcwCjWdvhHJgjF2iHO+Idg60sAlmXgT0c7FbFVo0ESdVSB8aol42xgt6WziS5e6eIEagJqampCl2AgiHZmcnER9fb0cMwLHq2S8a8HMgF1dXcjJyZmVC0isbRXb2+12nD59GlqtFjk5ORgdHY1q3J6N20rgvsJ/dnR0FKtXr465Es5cEOybMNdJmNMZCmJIMskOO59NuP9sHXKT6Rifbsyl83IklI7ZO3bswC233LIg+oDIfKIZr5LxrgVz9h8bG5vxniQ6BUeo7Xt6emSKCo/Hg9zc3KjG7dkEFATuG8x/NrANqUh3RUQPaeCSTLLDzmdz/ERo0NJJa5bMmWI618VLpz4giHBEM14l410L5tO3cuVKmUJJkOgUHKG2Hx0dRU5OjoxwFEm3I43biSzOHo3/bKZUGVqokAYuySRbczOb488nDVqyZ4pVVVVYu3Yturq68Oabb6K5uRlWqxVNTU00GyWIKIlmvErWuBSY7mbTpk1JT8ERavvc3FyMjY35pW+KZtyeTdqQwH01Gg1GR0cxMTGB5uZmtLa2or+/368Nc5VChIgP0sAlmGBOly0tLQDim01G0irNdrY6X7Q3yZ4pijp9ZrMZ4+PjYIzB4XCgr68v7gi5dA7aIIhkkKz6lfEwFyk4Qm1/++23+wUUCEEs0rg9mzYH7ltQUACr1QqfzyfbYLVa/YRBKpWX3lAUagIJFSEUWK8t2g91tBFHJAgEjzITARk7d+6c9fFF9FhXV5csOyZ+V1dXxxwhN5toMoLIZGi8miLV96GxsRF9fX2w2WwySa7ZbEZpaakcy2icSj0UhTpHhNICdXd3xxX+Hq1Wab5o0WZDsmeKYsYqBjoA0Gg08v9YTQrkW0IsVGi8miLV92FoaAglJSWycDwwNelVjmXJyAdIJA4S4BJIosPf0yV1RSaQ7CADISAaDAapefN4PPJcsQqK1LcEQaSSaCe9qRY0idCkJIiBMVbAGHuRMXZy+nd+kG2qGWMvM8ZOMMaOMcY+o1j3FcbYOcZY8/TPdXN7BcFJdMBCOqWuSHeSHZAhHIDNZjNcLhccDgfcbrf0iYvF8RlIXt9aLBY0NjbOqt4jQRDzn0TUUSVSS0p84Bhj/wnAyjl/hDH2LwDyOeefD9imHEA55/xdxlgugEMAbuacH2eMfQXAGOf8v2I5b6p84OIVJMj/wJ9U+4yI83d1dUltXE1NTVztSEbf0vNCEEQspHpMJSITzgcuVQJcK4BNnPOeaUHtFc758gj7PAfgh5zzF9NVgAOSU4SZXrD5KZwkum/TpdwXQSQaGgeJhUo6BjGUcs57AGBaiCsJtzFjbDGABgB/Uyx+kDH2cQAHAXyOcz6crMbGQqL9Bcj/YIr56PSf6L4lvzpiPpKM4vYEMR9Img8cY+wAY+xokJ+bYjxODoBnADzEObdPL/4xgCUA1gHoAfDdMPvfzRg7yBg7ODAwEN/FECmHEkpGhnwmifnIbMoFEsR8JmkCHOf8as75miA/zwHomzadCl+3/mDHYIxpMSW8Pck5/4Pi2H2ccy/n3AfgpwA+GKYduzjnGzjnG4qLixN5icQcQsJJZMgpmZiP0OSNIIKTqlJafwTwj9N//yOA5wI3YFMZWX8O4ATn/L8D1pUr/r0FwNEktZNIE0g4icx8Ko1GEAKavBFEcFIVxFAI4LcAagB0Avgo59zKGKsA8DPO+XWMscsAvA7gCADf9K5f5JzvY4z9ElPmUw6gA8A9wqcuHHMRxEAkD3JkJoiFx3wMYCKIaEm7KNRUQQIcQRBE5kGTN2Khko5RqARBEAQRFRSNTxAzSZUPHEEQBEEQBBEnJMARBEEQBEFkGCTAEQRBEARBZBgkwBEEQRAEQWQYJMARBEEQBEFkGCTAEQRBEARBZBgLKg8cY2wAwNkkn6YIwGCSz5HOLOTrX8jXDizs61/I1w4s7OtfyNcOLOzrn4trX8Q5D1oHdEEJcHMBY+xgqKR7C4GFfP0L+dqBhX39C/nagYV9/Qv52oGFff2pvnYyoRIEQRAEQWQYJMARBEEQBEFkGCTAJZ5dqW5AilnI17+Qrx1Y2Ne/kK8dWNjXv5CvHVjY15/SaycfOIIgCIIgiAyDNHAEQRAEQRAZBglwccAY+yhj7BhjzMcYCxmBwhjbwhhrZYydYoz9i2J5AWPsRcbYyenf+XPT8tkTTdsZY8sZY82KHztj7KHpdV9hjJ1TrLtuzi9iFkTbd4yxDsbYkelrPBjr/ulIlH1fzRh7mTF2Yvod+YxiXUb2faj3WLGeMcb+3/T6w4yxC6LdN92J4tp3TF/zYcbYm4yxtYp1Qd+BTCKK69/EGBtRPNP/Hu2+6U4U1/7/Ka77KGPMyxgrmF6X0X3PGHucMdbPGDsaYn16vPOcc/qJ8QfASgDLAbwCYEOIbdQATgOoA6AD0AJg1fS6/wTwL9N//wuAb6f6mmK49pjaPn0fejGVywYAvgLgn1J9Hcm+fgAdAIpme//S6SeatgMoB3DB9N+5ANoUz33G9X2491ixzXUA/gSAAbgIwN+i3Tedf6K89ksA5E//fa249un/g74DmfIT5fVvAvB8PPum80+s7QewFcBL86jvNwK4AMDREOvT4p0nDVwccM5PcM5bI2z2QQCnOOftnHMXgKcB3DS97iYAT0z//QSAm5PS0OQQa9uvAnCac57sBMpzxWz7bl73Pee8h3P+7vTfowBOAKicqwYmgXDvseAmAP/Lp3gbgJkxVh7lvulMxPZzzt/knA9P//s2gKo5bmMymU3/zfu+D2A7gKfmpGVzAOf8NQDWMJukxTtPAlzyqATQpfjfgvc/ZKWc8x5g6oMHoGSO2zYbYm377Zj5Yj84rXZ+PJNMiNNEe/0cwH7G2CHG2N1x7J+OxNR2xthiAA0A/qZYnGl9H+49jrRNNPumM7G2/1OY0koIQr0DmUK0138xY6yFMfYnxtjqGPdNV6JuP2PMCGALgGcUizO97yORFu+8JlkHznQYYwcAlAVZ9a+c8+eiOUSQZRkR8hvu2mM8jg7AjQC+oFj8YwBfw9S9+BqA7wL4ZHwtTQ4Juv5LOefdjLESAC8yxt6bntWlNQns+xxMDegPcc7t04vTvu+DEM17HGqbjB0Dpom6/YyxKzElwF2mWJyR74CCaK7/XUy5h4xN+3Q+C2BZlPumM7G0fyuANzjnSo1Vpvd9JNLinScBLgSc86tneQgLgGrF/1UAuqf/7mOMlXPOe6bVrv2zPFdCCXftjLFY2n4tgHc5532KY8u/GWM/BfB8ItqcSBJx/Zzz7unf/YyxPZhSrb+GBdD3jDEtpoS3Jznnf1AcO+37Pgjh3uNI2+ii2DediebawRg7H8DPAFzLOR8Sy8O8A5lCxOtXTE7AOd/HGPsRY6womn3TnFjaP8PKMg/6PhJp8c6TCTV5vANgGWOsdloTdTuAP06v+yOAf5z++x8BRKPRSxdiafsMv4jpD7/gFgBBo3zSmIjXzxjLZozlir8BbMb71zmv+54xxgD8HMAJzvl/B6zLxL4P9x4L/gjg49ORaRcBGJk2MUezbzoTsf2MsRoAfwDwMc55m2J5uHcgU4jm+sumn3kwxj6IqW/qUDT7pjlRtZ8xZgJwBRRjwTzp+0ikxzufrOiI+fyDqY+PBcAkgD4AL0wvrwCwT7HddZiKwjuNKdOrWF4I4C8ATk7/Lkj1NcVw7UHbHuTajZgayEwB+/8SwBEAh6cf7PJUX1Oirx9TEUgt0z/HFlLfY8qExqf7t3n657pM7vtg7zGAewHcO/03A/Do9PojUESmhxoDMuUnimv/GYBhRV8fnF4e8h3IpJ8orv/B6etrwVQQxyULpe+n/98J4OmA/TK+7zGleOgB4MbUt/5T6fjOUyUGgiAIgiCIDINMqARBEARBEBkGCXAEQRAEQRAZBglwBEEQBEEQGQYJcARBEARBEBkGCXAEQRAEQRAZBglwBEEQccAYq2aMnWGMFUz/nz/9/6JUt40giPkPCXAEQRBxwDnvwlR5sEemFz0CYBfn/GzqWkUQxEKB8sARBEHEyXTZsEMAHgfwaQANnHNXaltFEMRCgGqhEgRBxAnn3M0Y+/8A/BnAZhLeCIKYK8iEShAEMTuuxVTZnTWpbghBEAsHEuAIgiDihDG2DsA1AC4C8DBjrDy1LSIIYqFAAhxBEEQcMMYYpoIYHuKcdwL4DoD/Sm2rCIJYKJAARxAEER+fBtDJOX9x+v8fAVjBGLsihW0iCGKBQFGoBEEQBEEQGQZp4AiCIAiCIDIMEuAIgiAIgiAyDBLgCIIgCIIgMgwS4AiCIAiCIDIMEuAIgiAIgiAyDBLgCIIgCIIgMgwS4AiCIAiCIDIMEuAIgiAIgiAyDBLgCIIgCIIgMgwS4AiCIAiCIDIMEuAIgiAIgiAyDBLgCIIgCIIgMgwS4AiCIAiCIDIMEuAIgiAIgiAyDBLgCIIgCIIgMgwS4AiCIAiCIDIMEuAIgiAIgiAyDBLgCIIgCIIgMgwS4AiCIAiCIDIMEuAIgiAIgiAyDE2qGzCXFBUV8cWLF6e6GQRBEARBEBE5dOjQIOe8ONi6BSXALV68GAcPHkx1MwiCIAiCICLCGDsbah2ZUAmCIAiCIDIMEuAIgiAIgiAyDBLgCIIgCIIgMgwS4AiCIAiCIDIMEuAIgiAIgiAyDBLgCIIgCIIgMowFlUaEIAiCyDwsFguampowNDSEwsJCNDQ0oKqqKtXNIoiUQho4giAIIm2xWCzYv38/HA4HCgoK4HA4sH//flgsllQ3jSBSCglwBEEQRNrS1NSE7OxsGI1GMMZgNBqRnZ2NpqamVDeNIFIKmVCJjIHMKASx8BgaGkJBQYHfMoPBgKGhoRS1iCDSAxLgiIxAmFGys7P9zCibN28mIU4BCbnEfKOwsBAOhwNGo1EuczqdKCwsTGGrCCL1kAmVyAjIjBIZ8hUi5iMNDQ0YHx+Hw+EA5xwOhwPj4+NoaGhIddMIIqWQAEdkBENDQzAYDH7LyIziDwm5xHykqqoKmzdvhtFohNVqhdFoJM07QYBMqESGQGaUyJCvEDFfqaqqIoGNIAIgDRyREZAZJTKFhYVwOp1+y0jIJQiCmJ+QAEdkBGRGiQwJuQRBEAsHMqESGQOZUcIjhFxlFOqll15K94wgCGIeQgIcQcwjSMglCIJYGJAAl2ASnYeL8nrNX6hvCYIgiHghH7gEkug8XJTXa/5CfUsQBEHMBtLAJRBlHi4A8ndTU1NcmpVEH4+YHUJj1tnZCafTCaPRiOrq6rg0Z9S3BEEQxGwgAS6BJDoPF+X1Sh+Exszn88n7Pz4+Dp1OF1dJL+pbgiBSDblxZDZkQk0gic7DRXm90gehMbPZbNBqtTAajdDpdLDZbHFVO6C+JQgilZAbR+ZDAlwCSXQeLsrrFRsWiwWNjY3YvXs3GhsbEzoQiVJeTqcTGs2U4lqr1cLpdMalOaO+JQgilVDpvcwnLQU4xtjjjLF+xtjREOt3MMYOT/+8yRhbO9dtDEaik81S8troSfZsUmjMDAYDPB4PAMDtdkuhLlbNGfUtQRCphOpLZz7p6gO3G8APAfxviPVnAFzBOR9mjF0LYBeAC+eobWFJdB4uyusVHckOCmhoaMD+/fthNpvR3d0Nt9sNzjmKi4sxPj6OSy+9NOZjUt8SBJEqqL505pOWAhzn/DXG2OIw699U/Ps2APoKLnCSHRSgrHIwOTkpo1BLS0vJ8ZcgiIxDTEoBSEtCsMkoBTqkL2kpwMXIpwD8KdWNIFLLXMwmSWNGEMR8IZrSe8I1JTs72881hdw90oOMFuAYY1diSoC7LMw2dwO4GwBqamrmqGX+0Awm+UQ7myQIgkgH0uG7EGlSSvkq05uMFeAYY+cD+BmAaznnIe1knPNdmPKRw4YNG/gcNU8yFzOYdBgIUg0VcieIzIDGq/TRbEXqC8pXmd5kpADHGKsB8AcAH+Oct6W6PeFI9gwmXQaCdIBMnASR3qTbeJUqYXI234XZtFm5r0ajgc1mQ3Fxcci+oECH9CZd04g8BeAtAMsZYxbG2KcYY/cyxu6d3uTfARQC+BFjrJkxdjBljY1AskO1KZcPQRCZQjqNV6lMZBvvd2E2bQ7ct6urC/39/fB4PCH7gvJVpjdpqYHjnG+PsP4uAHfNUXNmRbJnMKTiJggiU0in8SpV/l0WiwWDg4M4c+YMcnNzUV5ejry8vKi+C7Npc+C+Tz75JKxWKxhj0Ov1crvCwkJs3boVALmmpDtpKcDNJ5LtXD9bAZH8UaKH7hVBzI5ox6u5eNcSJUzG0lahBTObzXA4HHA4HDh16hQqKyuhUqkifhdm0+bAfZctW4Z33nkH2dnZMJlMcpsLLrjAbz9yTUlf0tKEOp9Idsb92ai4qRZe9NC9IojZE814NVfvWiLqEcfaVqEFKy0tRV1dHYxGI3w+H2w2W1Tfhdm0OXDfD3/4wwAAzqdi+yYnJ8EYw4MPPhjxWER6QBq4OSCZM5jZqLgpRDx66F4RxOyJZrxK1rsWqCmrqKhAS0sLgPitI7G2VakFM5lMMJlM4JzDarVGdW2zsegE7pufn4+LL74Y7777LlwuF5xOJz7xiU9gzZo10V08kXJIgJsHxCsgppM/SrqTzveKTLtEJhFpvErGuxYs+rWlpQVr165Fd3d33P5dsbZ1ti4vs5mwB9v33//933HPPfdAr9fDaDTi/vvvj6odRHpAAlwak+wPcyICLBaK8JCu4fTplpaBIGZLMt61UJqy7u5u6bA/F21NhE90oAC8bds2nDx5csZ2y5Ytw29+85uw+wLAjh078N3vfhef+9znkJ+fH3U7iNRDPnBpylz4gcw2RHwh+YWlazh9OqVlIIhEkIx3LVnpnGJtazJ8ojdu3Ai1Wo3Kykr5o1arsXHjxqj23759Oy6//HLccccdcbeBSA1MODAuBDZs2MAPHkzblHF+NDY2zpjZif9nM2MMZDYatLlqY7qQLtpGZTu6urpQW1sro8gASJ+anTt3znnbCCIRJPpdS+ZYlepxwWq14oYbbkBubi50Oh1cLhdGR0exd+9e0qjNAxhjhzjnG4KtIxNqmjJXPlezCbBIdBtTPRBGIh3C6QNNpj09PWhra8Py5cuRl5cHID1MuwQxGxL9riUznVOqx4WCggLs2LEDu3fvRllZmZy8zQfhLVjgidJnMd2+EXMNCXApJJzAMpc+V/EKTolsI/lyRUegL091dTXa2trQ2dmJ1atXJzzPIEEkklRN0uZ7Qtrt27fjySefxPj4OLRabcLNoanot8BvQl9fH9566y3U1dWhpKSEvhEgAS5lRBJYkp0AONp2hCORbUxE6oBYnHnTlViLS5tMJixbtgwdHR2wWq3z7sNEpI5Ef7RTPUlLlKYsHS0FQguXjGCEVPVb4DfBZrNBr9fDZrOhtLR0TlI5pWNfK6EghhQRyfk82QmAo21HOBLZxkQ4GUdy5rVYLGhsbMTu3bvR2NiYdsEW0QSFBEvkqdPpsG7dOuzcuRNbt25NqwGGyEySEaA0HwJu0jlwK1nBCKnqt8BvgtPplIoCQTJTOaVzXwtIA5ciovEfS4ZvReCMoqura8Y5YnkpEtXGRJhjhRnB5XJJZ15hTkj17D8aotFCzpVmlljYJCOZbjrnUoyWuU7oHY0GSLnNrbfeivHx8YRq4Oay35TXMjg4CI/Hg9LSUnnOuUzllAnJ20kDlyISUcYlVoLNKAYHB9Hf3z+n7QhGIlIHCDOC1WoFMBWdtWPHDuTn52fE7D8aLeRcaWaJhU0y0m6kYsxLNMlKRxKMaDRAc6Elmqt+C7wWs9mM9vZ29PX1gXMOs9mMiYkJmM3mpKdyslgsaG5uRmtrK1pbW2G32wGk34SDNHAJIlZbeSo0KcFmFCKqJzc3N6UanXBOxrHc21DOvJkw+49WCxmv1jPd/TmI9CEZQVTxjnnp9NzOZXBZNBqgRGmJwt3jufpWBV6L0LzZbDZoNBqUlpaioaFhVpUzokEIkhrNlHjkdrtx+vRpLFmyBBqNJq0mHKSBSwDxzIJSoUkJnD2OjIzAZrNhfHwcXV1dsFgsKdXoVFVVYevWrX6+XLHeW6GF6+jokNo3IDNm/4FayL6+PrS2tqKrq2vWPnuZ4M9BpA/JSKYbz5iXbs/tXCb0jkbblwiNYKR7PFffqmDXUlJSgqKiIvlNWL9+/YxvRKIRgmR1dTXcbjcAQKPRoLOzMy2StyshDVwCiHcWNNf5g5Szx5GREbS3twMAioqKUF1dLR/OdNLKxHNvt2/fjr///e9+zryhZpFLly5FY2NjWszulVrIzs5ODA0NoaKiIiEh85ngz0GkD8lKuxHrmJduz+1cpiOJRtuXCI1gNPd4Lr5VqSxXqMxgMDQ0JLVvRUVF+OhHPyon/+nmrkICXALIBPMc4C/E9Pb2yuUVFRUpGxhjTZsBRL63BQUFeOKJJ/yWBRt4ly5dipaWlpCBDakw3YiBsrGxEUVFRQn7cCXzGU0nExeROFKdoBaY/XObjGdzru5LNKbLRJg30+X7lcoArY0bN6K9vR1lZWXQaDTwer0YHR1FQ0MDli9fLgXLVL8PgZAJNQFkgnkO8FeF22w2GAwGLFmyRGbwn+uXNt60GfHe20ATbXd3d8jAhlSbbmZrGglMmaLVamO+j9GkXUn1fSLmN7N5/zP92YzGdJkI82a6fL9SGaC1fft2aLVauFwumEwmTE5OApgS7NKl7nUwSAOXADIptYNy9pgqdbUg1Wkzws08U226mY05IVjKFKvVCsYYiouLo7qP0aZdSfV9IuY3s3n/0+3ZjEcbGEzbF+w4s6nnmk7fr1RpfQPLkanVanzoQx+Cy+VK6+TopIFLAOma2mHbtm244IILZvxs27ZtTp1xQ5HqtBnhZp5zmS4gGLPpn2ApU0pKSmA2m6O+j9GmXUn1fSLmN7N5/9Pp2UyUNjAZWsVY73G6J0SPF6GFGx8fR3Z2Nr71rW+lfXJ00sAliHTwFwlEadcX9Pb2YuPGjWlRGzDZaTMiEW7m2dTUlFIN5Wz6J5Rm0el0Rj1Tj9YvJpWOx8TCIN73P52ezURpA5OlVYz2HqdbQvRE+jgmsxxZsiABbh4TrjIBkBjBaDYv0FzWew3WxkhCUqrNCqn8cEV7jHQyvxCEknR6NhMVKJDqgIN0MksnQ5gMlsEgnSEBLkFs27YN+/fvl86PgqysLGzevDklxdQD7fpWqxU7d+5M2MwinhcoUJhau3ZtUhMzRmpjKCEpHTSU8dLQ0IBnn30Wo6OjcLvd0Gq1yM3Nxc033xy1wK38+LlcLlgsFoyNjWHVqlWwWCx+6QUy9T4RiSedIpLT6dlMlDYw1VrFuRAgo32GkiFMBstgkM6QAJcgNm7ciLfeegucc2RlZQEAJicnkZeXJ4upp4JQlQlCEcsAHPgCud1u9PX14Re/+AXWrVs3Y99gwlRLS0tS1e+zecnT0SweLZxzAABjTP7f19cXNm2KEvHxe+WVV/Dee+8hJycH1dXV6OzsxI9//GOsWrUKV1xxRVghmFhYiPfb5/PB9v+3d97hcVT3wn7PaldlterV8kq25V5iW9j0uIDpjokNAWIghJBCCCSEJATuzb2k3CSEdMrHzYWEmCQQQgImCFOdYBMIGGzLNsUFXJDWqpa00kq70rb5/pBn2F1tlbZa530ePfbOzs6cmTlzzu/8qtXK4cOHaWpqYvXq1SxZsiTib9NF8EsE8dIGplqrmGgBMhalQDoJk6lCBjHEifXr12ulP7xeL16vF4Dq6uqUqmNDVSYIRqwOsr5Owr6JgVWn+8DfpqIeaTo5MieLpqYmKisrWbBgAYsXL2bBggVUVlby8ssvR3X/1eCXiy++mO9+97s8+uij/N///R/33XcfAPn5+TQ3N2dUSgZJ4mlqasLr9dLa2orL5cJkMgGwadOmsP0kUek+0imNSLyCsVIRMOcbtNDX10dXV1fCgt9imSOiTX8y1qCLdOo/oZAauDhRWlrKtddey1133aUVvi0qKuKaa66hpKQkpZJ8JLu+2rZdu3ah1+upq6vTXh4Ira3yXY21t7djMBiAES1XsN+mwn8j1SaHVBDqPlutVmbNmjVqe+D99w1+8Xq9ZGdn09bWRn19vfaMHQ6HNrCm04pUkjq6u7uxWq0YDAa/scBms4XtJ9FqyWMdQ9PJXwvip9GP5jjxmm8CNWIOhwNFUXC73fT09MTdLB3LHBGNNnI8fnLp1n+CITVwcUTVwnk8HpxOJ1lZWZSWlrJjx46wkny8w7IDj2e323n44YeDat98Vxkwoj07ePCgJoSGE7B8U12oL7bL5WLSpElBfxvvhJHR3Ld0SJeSbELd5+Li4qjuv29Sy+zsbIaHhxFCaGYwl8tFXl7eCa/JlMRGWVkZNptNK0MEaJq4cP0kGi35WLQhE1H7DvHVHIVKSVRYWJiQFBuR5gjfMb+pqYlFixaF1UaOx+qTCf1HCnBxpLS0lLVr16IoCllZWZx77rnodDo2bdqE1+sdU8b/WIW7WF9e3w6el5eHEAKDwUBbWxsQXsDyVefDiL+Vb2WHwN/GU5iK9jrTNUdfIgl1n88666yo7r9qdu/p6aGoqIj+/n4WL15MdnY2LpdLE9JPdE2mJDYaGhrIysrSJmC1r5SUlITtJ9Es7MYyEadLhYFkE09XlUQJMaHmtXBzRLAxf/fu3TQ0NIQUJsfT/kzoP9KEGmemTZvGwoUL0ev1rFy5EqPRiMfjobe3V/OR6+vro729HavVyv79+7UEq+CvpgViVv/Gqvb1VVlXV1dz6NAhDAYDdrtde3nCOciq6nxVna3X61EUJag6O55RYaq/TUtLCw6Hg7y8PIqLi4NeZ6DJQR08QpkX0t1xFcK3Mdx9rqqqiur+q8EvHo+HsrIyVq9eTXNzMyaTifr6evR6vUwXIvHDbDazevVqNm3ahM1mw2QyUVFRgU6nC7tIi8YUNhb3i1gc/jPhnY8Gi8XCrl27UBQFo9HIpEmTKCwsHLPQlQgXlEhmzVBjV2NjY8wmzWjb71vMXsXpdJKXl8e3vvWtlKehCYUU4OKM0+nk9ttv16L/AAoKCrDZbIC/s39RURE2m43BwUHy8vJG1STdunUrLS0t2m9LSkq0CThUh411oPPt4EVFRdTX19PS0qKt3KIVsKIVzsbqB9LR0cE//vEPLbrypZdeYmBggLy8PBYsWIDL5aK1tXVUGpdAIg0ekb7v6ekhNzfXb0BINsHauHHjRkpLS3G5XGHL60R7/wOTWl5//fV+k1xRUZFMFyIZxZIlS0YtEiIJQ9GMHaEmYr1eH3IxFu2YlG7JaceKeh2qCdvlcnHw4EGmT5+OXq8fk9AVTggeq9AbSckQaoxKpBAfKun92rVrMRqNKU9DEwopwMWZYANNcXGxptFqb2/XttfU1NDW1obdbqetrc3P9KjX69mzZ4+WfBdGOrDD4cDpdMZ0/nArJrWD22w2rFYrNpuNrKysqEL/A4lnOonAweGPf/wjf/3rX4Pue8MNN1BfX4/L5Rql8g4k0uAR7vvm5mbtxV++fDmf/vSnueGGG+JyvbEQLH1LV1cXAwMDzJ8/P24T0PLly3niiScAaGxsHHfNRcnEYCzjQKTfBJuIOzs7NZePUIJXNG2Jp7N6KjV56nXU1tZqlhS9Xk9zczNVVVVj0hyFEoIhduuQyliD2caiDYxWiA+V9P4rX/lKWldkkD5wcSaYDV+n07F69WqMRiNWq5W8vDzNV0yV+G02m5/NXwih+dKpf3q9nqGhIS3gINrzh/MzM5vNLFq0iCNHjtDa2srg4CCKovDvf/+bHTt2pKTmXTBfh1deeYXly5dz4MABDhw4wHe/+10uv/xyAIaGhnC5XJrZIByRfCLCfa/6BdbV1bFnzx7++Mc/xuuSYyKwje3t7eTl5eF2u+OWnsVisfDWW29x/fXXU1tbm5Yh9JKJQzBf1tLSUioqKsbt6xUvP69Up51Qr0O1pBgMBjweD263e1yLObPZzJo1a/z8zMbjZzdW37Kx+lCr7T/nnHMA2Lx586j5zNfvF6Cnpydi2q10QGrg4kw4if+nP/0p27dvx+v1otN9JDuXlpZyxRVX+IVlb968mZycHBwOBx6PR9vf7XaPGmyiPX8o9u7di06no6KiAr1ej9vtprW1laeeeooFCxYk3awQuCL2er10dHRw7rnnMnPmTGDEVKOaU+12OwaDgYqKCs3PMBSRVnHhvlfNs8888wzf+ta3sFqtQc+R6FV4YBsdDgdZWVl+/SLcBBRN+zIhhF4ysQjUpm3YsIGCggK/fcYieJWVldHR0YHVavXzp400lgQy3ndmvONGoDtMUVGR9jke76xv+1paWpg2bZrf99He+1iTEfueNzs7e0wpTKIxk8ea9D4dkAJcAgiltl++fDn79u1DCKFp1bq7u5k9ezaf/vSnR/l8tLW1kZWVxfDwsKZdKS4upq6uLuS5xzIIHD58mLy8PM1Uq67choeHUzKBB6rYVedSNT0JjAwCe/bsAWDy5MnU1tZGtRqrqalh06ZNeDweTCYTJSUl6HQ6bfAIN7i8/vrrANrz83g8o44fj/Ji6jMLtT2wjXq9HofDwZQpU7RjhlrRRtu+VNdclEgiEWyx1dnZidVqZcOGDVGPfzU1Nbz++uvk5uaSl5eH3W6np6cn5uj48bwz8fDDS2SVhsD2tbW1ceDAAWbPnh0y60AoYlEyBMtDNzg46Hdf4rUgjVTMPligA8DMmTNTUioTpAk1aVgsFkpKShgcHMTj8Wgq4OzsbG6//fZRHa6hoQGTyYTX66WwsJCSkhJyc3MpLy8PObCMR4WvarNUVIHRl2RN4IEq9gMHDiCE4KSTTtK2mc1mzjrrLGAkMCSa9CAWi4Xdu3dTU1NDQUEBAwMDtLa2smjRolGOz8HSjqj3aOvWrbS1tdHT0zPq3sZqWgj1zMLlDgxsY21tLZWVlVoEcDjTQqT2qRG6LS0tvPvuu1o+QEi/EHrJxCbQpNbR0cGhQ4coLi6OafxrbW2lvr4eo9HI0NAQRqOR+vp6WltbY2pPrKbB7u5uOjs78Xg8cUn9kciUSYHtq62tBaC5uXlMKaGiMWuq51WzDezevZuWlha8Xq/feBXNnBetmXz9+vUsW7YsqPZt+fLlZGVlMXnyZO0vKysrpaUypQYuCfiuIlatWsXmzZspKCggKyuLG264gQULFoz6jdlsZt26dWzZsoXDhw9rIc06nU7rvPEye9XX17N//37NIdjlcgFoKyuVZE3ggSvJvXv3Ul1dzcc//nG//aZOnQrAySefHJVzve/9Uc0jdrud1tZWv4CNUBrUY8eOASM1bnNycvB4PKNWybGuwkM9s5dffpna2tqoI7UCV6GhVrTh2ufbT6dOncr777/P/v37mTVrFgaDIe1C6CUTm0BNjtVqpb6+Xnu3ox3/uru7qays9DOZKooS82I1Fg3Yhg0b+NznPqddx6mnnsratWv99hnLgjmegWS+BI4bRUVFzJw5kyNHjoy5IkM0Wsfm5ma6u7sxGAzk5uaOyjYQ7ZwXbQBEuGL2oQIdUmlqlQJcgvCdUI8dO6bleluxYgVbt27F7Xbj8XjCPnyz2czVV1/t19FVFX88zV4rVqygt7cXm82m+ZNNmjRJO1eyc+D4DszHjh3j4MGDnHvuuaMGh5ycHICIqUNUxnJ/1Oeo1v6EkaABr9eLoiijyknFGik13rJXKtEO3OHa5zsYGo1GZs2aRUtLC4cPH2bx4sVpF0IvyXzG6/fl2+83bNiQtOjGUG2J1jR45MgRAO6++26efvppnnjiCZ5++mmWL19OeXk5MBJdbjAYOHToEBdddBGnnXZaTO2JJ8HuUXZ2NosXLx5zZHo0wpeq0fR17/HNNhDtmD4e87JvH505cyavvvoqBQUF2O12PvvZz6Y00EEKcAkgcGVx+PBhv1xvK1eu5KmnnuLcc89lcHCQV199NS4O5WMdiMxmM2vXrh01kKrnCDUY/fznP+fpp58G4JxzzuGOO+4Ydeyx+g2oA/ORI0fo6+vj7LPPHrVPrAJcrPdnzZo17NmzRysRNjg4CMCTTz5Jbm6uFlDiO1jEOlCEapNa9ireNVwbGhp46qmnsNls2gRRUFDA2rVr2bx586hVdmFhIT09PTJ9iCTuxDv/2ljHv1ApSkpLS2PypYPoF1Iulwu9Xs/XvvY1vva1r7F582Z++MMf8uqrr45KE6UoCm+++SbPP/98xOOOhZdffhlAc0kJRiL860IJX83NzVpuv/7+frxer1ZfNzDbQLhnHrg4WLRoEa2trTHldPPto1lZWVRWVmoWGBixUqluLalACnBx5OGHH+bOO+9kYGAARVE0HzKn06l9zs7Oxuv10t/fz0svvcTmzZvR6XRa2hCv10t+fr5fPcG+vj6Kior4/ve/r3XUeK8y1IEnnMAVOInfe++9uN1uAA4ePMgdd9wx6qVZuHBh0ASJ0foNbNu2DYBTTjll1HexCnCx3J8rrriC119/HZvNpj1H9VqrqqoYGBjQVoK+E0SsUcCh2nTWWWexe/fuqNoaK6ovn3pd6udEZF33JdXZ7uNx/nR0ZE4GiXh2vgtTtTqNzWbjscceGxXUFU07xjr+Bb6zer0eIQR6vV7TtMQ7Ar+7uxudTucnIP7pT38Kem3Lli3Txp5EoC6OgwlUKmPJbhCJUEEo3d3dlJeXa8ESqhCnRgj7ZhsI9cxnzJgxanGwe/fumJ+hbx9taWmhtLSUk046iddee43LLruMysrKlEbmSwEujlRUVLB48WIOHz5Mdna2nwCn5lcrKSnRcvNkZWVpA4WK2+1Gr9dTU1OjbXvnnXd49913OXr0qJZGI9jEGo+XLFRG6kCBy+Fw0NzczA9+8ANsNhv33HMPLS0tvPTSS34vTUFBAV6vd8x+A2+++SY5OTksXLhw1HfqQButABfL/Vm+fDmvv/46Q0NDmoCjDqK1tbW8//77uN3uoBNELH4o4doUbdmrQMJNck1NTVRWVmr+gzDiB9jU1JTUKLZkZ7uP1/mjfT9OJBL17FSBQa1OYzAYMJlM2Gy2Uce/5557eOqpp5g8eTKf+MQngrZjPOOf7zvb2NiIwWBIWAS+xWLhgw8+QK/Xj7qOYJpunU6H1+sd93kj8fjjj/PlL3855Pfx9q8LlhGgtbWVmpoa7Z7X1tZy4MABdDodH/vYx7QxSbUQhXrmkRYHQFQLEl+h1uFwkJuby9KlS2lubmbFihUpj8yXAlwcueiii7joootobGwctbJQ8wyVl5drHUY1WflGeyqKQk9PD9dee622bePGjVxyySUcO3aMGTNmhJ1Yx/uSReuo+eqrrwIjEVwOh4Ph4WF+8Ytf4PV6Of300xFCaGbHSZMmceDAAaZMmYLVauXaa6+Nym/AYrHw3HPPYTabef7550e9ZEIIcnJyohbgIPj9CSbwrF+/nnvvvReXy0VPTw9ZWVna/r6BHvEQQEI9M9/tFotFC2iBkcCTFStWBL2WcJNtOJ+RRKyyVVKdVy7U+devX6+Zxn0JpVFLB0fmZGsyE/XsVA1Me3u7n4msoKDAz7f0zTff5Oabb0an01FdXa0l8I62HbHer2hMe4HHieUcTU1N6HQ6DAaDFnEa7jriKcAFa6d63//4xz+GFeC8Xi9HjhzB6/XS1tbGe++9h9VqZfbs2SxdujTmAAY1I4BaAcjhcJCfn09lZaW2XzTBEsHGT3VuDbY42LhxI0IIKioqIi5IfLWEeXl5mtvJ1Vdfjclkwm63pzQyXwpwCSCYJkOn0wXN9RaNyWrOnDnAiCZvrBE/0aLmwtmwYQPV1dWaMDk4OMimTZu0iNi9e/cCMHv2bD788ENgxCEXRoTVNWvWaC/OggULOHDgABaLhfz8/KgmO4vFwlNPPcXevXtZs2ZNyJcsWgEuXK61UALPZz7zGe677z6EELjdbi0/XmFhIXq9ntzc3KRpjzZu3EhXVxd5eXkoisL+/fvp7e1l7dq1fm2INNlG6nPJimKD5OaVC3X+qVOnsm/fvqg1aqHej2Q5MqdCkxkpcnmswqSqgenp6SEnJ0dLUVFXV6cdX1EUvv71r1NVVcWsWbPYvn170HZA6BrB27dv57HHHsNkMvGzn/0s4v0KfEf6+vr44IMP6Ovro7+/368yyXnnnQfEVlZKvS7fRWG4d0Gn0/Haa6+NSpwL8K1vfYsbb7wxirsduu94PB4MBgP//ve/+c1vfjMqObLKAw88wCuvvDJq+znnnMP69etj6oOhMgK0tLSM8v0NFiwRqd+FWxwMDAwAaHkzwwnQvnN5VVWV5j6h9oFUR+ZLAS4BRKvJiNZkpQ6e06ZN89PMjZfu7u5RDrOqoOmbkXrFihV+AoTNZtPKShUUFHDWWWcxffp0WlpaePTRRzl48KD24gCUl5dz9tlns3HjRlasWBHVZPfPf/6Tr371q8CIkBjqJYtGgAs36YUTeG644QZ+97vf4Xa76e3tZfr06ezbt0/zvbPb7VqN0ERrQAYGBvySLQshsNlso+5HJEEpkWbScCTav26s57/wwgs5ePBgTBq1VGZsT4UmM1wh+ViFSUVReOSRRzh48CBHjhzh9NNPx+FwaBVnZs6cSWFhoabZ+Mtf/sLrr7/Ob3/7W/71r3/xr3/9a1QVErUPBbs3fX19PPPMM3i9Xnp6erBarUyePDns/fJ9R5xOJ++//z4DAwMUFxcDcOjQIaZPn+6Xpy2WZ6JWdfF1nQn3Lnz9618PepxNmzbx/PPPRy3ABbs/qt/1ddddxx//+MeItZ3Lysq45pprcDqdeDwennvuOXbu3MnZZ5/Nli1buPrqqyO2w2KxsGvXLi0YYdKkSRQWFpKXl0deXp6mEQ81PkWziPGt8W0ymXC5XLhcLurq6jh06NCovKfhBOjs7GwOHDgAjCSNV49XVFSU8sh8KcAliGg0GdEKeuqErNZpC8a///3vkKWdgvHSSy/x61//Ouh3v/zlL/0yUh8+fJiBgQEGBgY4duwYvb29tLe3YzKZ6O3tpbKykrq6OoQQmM1mDhw4oJV3crvd1NXVUVNTw4EDB/jYxz4WVfvUiKvLL7+c008/HQj+kkUjwIWb9IIJPE6nkwMHDtDd3c2iRYt45ZVXmD59OitWrGDfvn2aGh1ImgbE7XaTm5urbTMYDNjt9lH3IxoNW6LMpOGIVxj/WE2Goc5/3nnn0dvbG5NG7YYbbqClpYXOzk4qKytZtWoVkJxABt/+qvr2qCkVErWQCHXvcnJyRr1Xqp+Rr6uIb5v27dvHZz7zGe3znDlzmD9/PocOHQKgv7+f4uJiBgcHOemkk1i1ahWLFy/WrAAPP/wwra2tTJ8+fVQfCvYu79mzh56eHi699FKeeOIJrFYrM2bMCKv59X1HDhw4oCWAzcrKor+/n+HhYd555x3mz5+vHScWk2tDQwPDw8NkZWWhKErEd2HNmjVBfeNWrVoVkwY72P1RF6O1tbW0tLREnEPMZjN/+ctfyMrK4vDhw8ydO5fnn38em83G3r17I0ZkqsKXKry6XC4OHjzI9OnT0ev11NXV0dDQEHZ8CjaeB+t35513Ho899hg2m42CggLq6uo060kgwQRoX0Fx0aJFdHZ20traisfjoba2NulBWMGQAlwCiGXCiUbQU1M9hHpZd+zYMWYNyp133uk3Wd18881YLBa+853v8Oabb3LllVfy97//HavVyt133+3nizFlyhQcDgd9fX20tLTgdruZOnUqb7zxBna7ncLCQqZPn64lBL7++usjFptX2b59O1OnTvVb0QV7ybKzsyMKcOG0UsHMJe+//z55eXmUlpaycuVKPvjgA77whS9w8OBBYET7VVRUhNfrjVu9w3DRjVdffTVtbW2aGRc+yhEVeD+iEZQSZSYNx1gFx3iZDMOdP1aN2vLly7VnNX/+fAwGQ9ICGdT+6nK5NBcFNRgqUQuJUPdOTUiu0tfXp01ws2bNCvqsOjo6APwEqnnz5lFfX097eztWqxWj0chDDz3EN7/5TaxWK3/4wx/IysrSEp47HI6griSBNU1zc3P517/+RXl5OWeccQZPPPEEe/bsIS8vT6skEO6afX1G3377bS1CVR1zfEtJRYqmDLwXZWVltLe3j8slpqysTCsnGO3+wXyzAXbv3s0bb7wRcq5Sx63XXnuNY8eOMTg4SHZ2NvX19QC0tLQwb968iOOgKnzV1tZq/Vev1/P++++j0+m0HHiRfAh9K17Y7XY6OjpQFIV169b53etPf/rTo3KomkwmhBBBc5yGyt+q9m1Aq/6RzCCsUEgBLs4kykeltLQ0pAbu2WefRQjBP/7xD/Lz86M+Znl5ufYCqtx+++243W6/jNRlZWW0trbi9Xq55JJLKCwsxGazac6mqnp51qxZ2ov1yiuv0NnZSVtbm+bwD2gpU0KhqvSdTifnnXceHR0dVFZWhlyl5uTkcOzYMfbt2zfqWDNnziQrKyusVipQ4GlpaQHQNIr19fXcfPPNtLe3awJ0fX295syr/m689Q7DRTc2NDRw5MgRfvOb39Db2wug5UYqKiriT3/6k6b5MZvN9PT08I1vfANFUfjiF78Y0gQTC/HQgo1FcIynyTDU+SPVQAxEFfjmzZuHwWBIaiCD2l87Ojo0Yd7tdmsajESZUoPdu8D3qr29HRhxqwjlnK++J/Pnz+eJJ57QSrUVFRVhMBiYPXs2F154IWvXrmXJkiVcf/31zJgxg8bGRt5++20AHnvsMZYtW8ZPf/pTv/EusKbpO++8Q3t7O2vXrqWrqwsYmewdDgdWqzWq/F2lpaW0tLSwb98+Ojo6tBrI6rv/zjvvsGDBAlpaWli4cKGmGQyMpgy8F+q4NB6XmLKyspg0cIFjXWdnp7Yozc/PDzlXBY5bbreb5uZmSktLtWs5dOgQ559/fsT2qAKxWq6svb2dvr4+BgYGmD9/PpWVlRHnzLvuugu73R70+C6Xi0996lMoisIrr7zCBRdcwMknn8zbb7+ttXnlypUAfttOPvlkent7efnll8nPzyc3N5fW1lYOHTpEfn4+LpdL0zj39PRQUFDA0aNHefDBB1m6dGnKtHFpKcAJIR4CPgF0KoqyIMj3ArgbuAiwA9cqirIzua0MTiIjtkIJcC+88AInnXRS2ESMMHoS9k1VohKsSHtDQwP33HMPOp2ORYsW4fF4NFV7b28vRUVFzJgxg8LCQhYuXEh9fT0HDx6krq5OS3uSm5tLVVVVSAdZAJvNxpEjRzAYDOTl5XHmmWfS2tqK0+mktrY26Cq1qKiIl156iblz54463vnnn8+DDz5IX18fe/fuxWQyUVtb61cWKlC74Ha7mTVrll8ZMavVyh133KH5TaglzdRBPFpfrnB9I1x0Y0lJCevWrWP79u1s3rwZk8lEfn4+ZWVlWK3WUZqfd955B6/Xi8fjYXBwMC7CW7hFSSKjIpMV/LB+/XpN4xyJVAYyqP3197//veZDpJqGxlL+aTwECgQ2mw2dTsekSZO0fQKflVqO7txzz+UHP/iB5tDvu0BTK5184Qtf4Pzzz9f63uzZs2loaKC7u5vf/OY3vPvuu2zatEkT4tSapvv27aOpqYmdO3dSXFzM4sWLyc7OJicnB4fDwezZs0cJuw8//DD/9V//Nco3qr+/H5vNFvY+bNy4EYDKykruuOMO6urqKC8v94umDLwXLpeL7OzsmO85fDSOWywWenp6aG5upq6uLuLvAsc6q9WqOfJnZWWFnKsCx62qqirKysoYHBwkKysLs9lMV1eXtqAMNx6oQn9WVhbPPPMMQ0NDWp9QI+wBbWy97rrrRl2Hw+Fg+fLlrF69mtzcXN577z2EEPzlL39h48aN2vNIBpdddhnz5s1LmTYuLQU4YANwH/CHEN9fCMw8/ncq8L/H/005sUw4sUx8oTRwfX19vPHGG9x2221h2xWtZlCv149KGmk2mxkYGGDq1Km4XC4GBgYoLS1l+vTp7N27l/7+fvbv309hYSGTJk3iV7/61ahUKNEQLP2K+jlUJYCHH36YHTt2jNq+a9cu7rrrLu644w4uuOAC5syZo6Xi8Hq9zJw5k2eeeWbU79ra2hgcHGTevHl0dnbicDh49913URSF73znO5jNZgwGA16vF6/XG1MkUri+EUwo8Hg8LFu2DIfDgdvtRghBb28vLpeLmpoabfupp56qmX3NZjM2m426ujrcbndYv8lwhDIlgL/gCbFF4MVKsoIfwtVADEYqAxnMZjOLFy+O+r4kSsAOFAgKCgooLi72W/wEtkkdB5cuXUp+fj5DQ0OjzIhvvPGGdvxA4eH73/8+drudt956i1/96lfU1NSQl5enJXpVFMUvLcznP/95XC4XDQ0NWsqmYMLuk08+yfDwMBdffLHfNebm5lJTU8PRo0fR6/WaJsZoNGrvvslk4vDhwzz11FPceuutZGdn4/F4yM7O5n/+5380c63vvVAXaLGijuOqgOP1evnNb37DpZdeqtVzvuqqqzTBOhTZ2dlMmjRJi2zV6XRA8Lkq2LilCsqzZs2ioaGBZ555RvMvDDceqEL/gQMH+Mtf/kJOTg6KooyyzKhJewMFOLWE4ZIlS5g7dy7d3d3MmDGD4uJipk6dyo4dOzh27BjvvPMOQ0NDmntBTk4OWVlZVFRUaDVoA9m2bZsWCd3Z2cnw8DDDw8NaxLDH49E0y2pbp02blvSUSL4kVIATQpypKMprkbYFoijKK0KIqWF2+STwB2VkufSGEKJYCDFJUZS28bd6fJSVlfHjH/+Yzs5ObZvX60Wn0/Hcc89ppq5YTa2lpaU0NzeP2v7Pf/4Tj8fD+eefH7Zd4bQ/6r+qBqqvr8/vt263m7fffpvrrruOU045RZs4+vr6tA7udDo1h9Samhq/wtDRTiBj0bbMnDlT0/L5cvnll/Pss8/y+OOPs2LFCkpLS+nv7+d3v/td2PukUlRURHV1NYqiaNrGiy++mFNOOQWLxcKzzz6Lx+OhpaUFo9Go3cdwL3AwfzvVd7CxsZHly5f7CQXnnXcejz76KKWlpdoA0tfXR1dXF1u2bNGOe/LJJ2v/f/nllzWnXQgf+KISTDO7e/fukKXg4KPnkuioyFRFzUYiVrNrvIn2viQ67YivaVU9V7j6yceOHdNMVBUVFRQWFo5a6KluDGazmZ07dwYdExYsWMAzzzzD3//+dwYHB7X0EzDiVjFr1izKysrIycnB5XLR2dlJcXGx9i7feeeddHZ2cs899+B0Otm/fz8Gg4H9+/fz5z//edS9Ua/tww8/xGQy4Xa7GR4eZvLkyeTn51NYWEhubi5WqxW9Xo/RaOTxxx/n7bffxmw2a/di0aJFvP/++/T391NUVBTz/W5qasLr9dLa2uoXDb9p0yZNM/b444+zdOlSTjrppJDHsdlsPP/88+zYsQOdTsfkyZOB4IuAUHVQ586di9FoxGw243a7qaqqorW1Nex4oAr9u3btAuD//b//R25urnbPADweD+vWrfNLs6KiWodKS0u1Rb36bMrKyqirq8NsNiOEYN++fZhMJnJzczVB8dprr9WidgPHvbKyMq0du3btIjc3l8HBQS1i2OFwkJ2dTV5enhagN336dCC5KZF8SbQG7l4gsBcF2xYrk4EWn8+W49tSLsA1NDQwffp0Ojs7KSsrw+Px4PF4UBTFz9S1fv16LBaLtvKBEUHv97//Pf/6179GHTeUCfWFF17AZDJpkZqhaGlpYXBwkKGhIfLy8pg0aRIFBQU0NzfT1dWlDfBCCJ5++mnmzp2LwWCgvLycH/7whwwODnLaaaf5CVlqJOrAwABOp1Nboba2tnLBBRcAsU0g8dS26HQ6rrrqKu644w5uvPFGhBDaynzmzJmsXbuWKVOmcPrpp/uZkhVF4a677tIiq3Q6Hfn5+SxZsoSjR48CIxNLTU0NXq+X2tpazTk20sQYLD2By+XCZDKxfft2mpqaWLZsGX/96181oUD1sfJ4PDidTq2/lJeXYzAY+NrXvkZtbS1tbW3ceuuttLa2agKc6lwfjmDPZ9OmTX7+O2o5oba2Nk2A6+zsxGq18sEHH1BUVERNTc0o4S4epCpqNhpiMbvGm2jvSzLTjkTTJnU7jPRh1XzmO5mqScLNZjMffvhhyDHhwgsv5MILL9Q092pgh1qq0OPxaL5mhw4d0vy+BgYGmD59upaqpKOjA7fbTUFBATNnzgz6HqvX5hvVaDQaMRqN2jt85ZVXaonYP/3pT/P444/T39+vaRjnzZvHWWedpb2Tn/zkJ2O+x6rp02AwaO/bAw88gBCCX/7yl5pgceutt3LJJZeEPZbFYuH5558nPz9f84ELtggIF8FtNps55ZRTuO+++/jggw+0oA1fAscDs9msLfCvuuoqjh075nf8Y8eOodfr6erqGpWmSbUO+UaS+j4bNVr/tNNO4+DBg1odazV/5+bNm/nd736H0+nUxnedTkdlZSVXXnmlluBXHdN1Oh0LFiygsLDQL0BGCOEXoJfMlEi+JESAE0KcDpwBVAghvuHzVSEwWqwewymCbFOCbEMI8SXgS0BUfgLjxWw2c9ttt3HZZZdpA09BQQFOp9NvoJ86dSrt7e1+K/fe3l6/Eke+qCZUVZsHI8LGCy+8wNlnnx1WHW+xWLSBUh1wVE2Zw+GgvLxcGyDXrVvHrl27tNXPyy+/zJ/+9CcATj31VN577z3tutTM2TBSj3RoaEjLWK2+cLFMIPHWtsybN49vfOMbNDU1aS+2yWSiurqa4uJiOjo6+Pe//60lw1UnEZPJxOc//3k/oUQdmFW6urpQFIW8vLyosqnD6PQEOp0OvV6PTqfDZDJpA8NJJ53E5Zdfzm233aaZdCsqKrTcW2p7LrjgAiorK1mxYoU2aA8PD2Oz2TQBTE24HIpgz8fj8dDb26sNstXV1ezbt08bvDweD3a7nVmzZgEjGgA1FUBhYWHcB7NURM1GQ6xm13gTzX1JdgLlSG1SIzNhRIBramric5/7HM3NzVpE4t69e8nOztZKJkUaEwId4999913tO9U3V9X6WSwWv3HY12yXl5fHueeei06nC/oem81mv6jGlpYWzZlenVvUvq9qGPPz8zUN46233kpHRwf3338/hYWFYxrXysrKOHz4MCaTSavGMjQ0hE6nIzc3lzlz5mAymbQFdDjMZjMXXHBBxEVAJMG8qqqK6dOn89prr3HddddFtQhvb2+nuLhYS4auHr+5uZnu7m5yc3O1VEm+ArWqgQvUzpnNZq1fqRH6DQ0NbN++XUsDc9VVVwGwYcMGjEajZla1Wq0sWrSIyspKXC6XNofZ7XZqamq0BayaIxXQUqFEkwYmkSRKA5cNmI4f39drvR/4VByObwF848DNQGuwHRVFeQB4AGDp0qVBhbx487GPfYyvfvWrbNiwgaqqKtrb20c5OV944YVs27ZNq32q+jhddNFFQY9ZWlqK1+vFZrNpqvcPPviAI0eOcOutt4ZtT1NTEzU1NbS2tuJyufw0ZeXl5VoHh5GcQ5/4xCfo6emhrq6OVatWsWHDBi1iNScnh3Xr1nHs2DGcTqfmi5GTk0NtbS033XST38sbaxb3eGpbGhoa6OrqYvHixbS0tGjO0WVlZVqtWjUZLnzky1VcXBxRKBkaGgJGtKYDAwNR5+PyTU9w7Ngx/va3v41y3s3Ly2PhwoW0t7dTXl7OwMCAZpLPyspi8uTJVFdX+002S5cuBeC73/0u7e3ttLW1kZWVRU9PD1dccUXI/GTB8ooNDg5qQqAqwHq9Xm3Astvt6PV68vLyyM3N1XJ4tba2otfr08LEKRkh1QmUA1FNqI2NjRQWFjI4OMjf/vY3wF+YamhoYNeuXaxZsybimOB7jUVFRdqiOTs7W+u/lZWVrF27losuugi3243X62Xbtm288cYb5OXl4XQ6ueCCCzCZTGGDQXyFjWCTvG/fr6ur08zBzc3N3HvvvVxzzTWsWbOGpqYmtmzZErNPopojTa1WcP7552s+sVVVVSF9hUMR7eIo0n5nnnkmzz//PPfccw8vvfQS8FGkqzrP+GrT2tvb/YJd1OM3NjZqc9Lw8PCohXEwDZxKWVkZbrdbS/exePFitm/fjsvloqysTNOQPvLII/T392M0GrWa5GpdU4fD4Wea3bJlC7t37wZG/P46Ojq08pE9PT0YjcaQAXbJICECnKIoW4GtQogNiqJ8mIBTPA3cJIR4jJHghb508H/zJZKT8/LlyznllFN4/fXXKSsro6+vj9NPP51ly5YFPZ46yXZ3d2sC3AsvvAAQ0f+tu7ubyspKcnNzNUFDXWWoJUGCDfAnn3wyn/vc57DZbJx33nlaot61a9fy8MMPYzKZcDqd5ObmYrfbmTlz5qjJeyxZ3NesWaMJd5s3bx5X2gp1sFV9X0pLSzXfEd9kuL6aqOrq6ohCiclkAkYSIh87dkxLyimE4Ec/+hGLFi1i9erVIfNNlZWV8dZbb7Ft2zbq6uooLi7G6/Vqq3pVIB4eHtacvU877TROPfVUTZj3nWzUa1JRJ7Curi6OHDnCZz/72VFtKCgoYOXKlTgcDs38pPp62Gw2XnnlFaZOnar5gMyfP5/CwkJNQ9vW1sbs2bNH5fBKFxOnJP18CDs6OqiqqsJut3PVVVdxySWXsGfPHubOnevnE+YrREUSHgKvUe3DaoQljIw5c+bM8RNwenp6OOOMM9Dr9Xg8Hs455xxt33ACbqDfXyjhsra2lueee445c+ZgtVpRFIUvf/nL4/JJNJvNrF69mk2bNmlVBioqKtDpdFqB93gQa+DLGWecwR/+8AeGh4dZtGgRL7/8Ml1dXXg8Hs0vzfda29ra/FImqagLypycHG2R7KsxDifAqf1Ara86NDTEwoUL2b17N5/73Oc0BcpVV13F3XffTU5ODgMDA5x99tkh65o6nU5mzZqlCaNPPPEE9fX11NbWau9SKhP6JtoH7rdCiMsURbECCCFKgMcURQkrcQgh/gysBMqFEBbgu4ABQFGU3wDPMpJC5ANG0ogEDytJIZGcnH1NrTabjezsbG6//faQaRnU8PaHH35YyzvzwgsvUF9frzlShkIVooqKiigqKtKc5x0OB0VFRVitVs3u7zvAFxQU8NBDD4063g033MCmTZsoKCjA6/VqqQDOPfdcli1b5teZY8niDuOLbAw16Ki/eeedd/z2902G66uJKioqiiiUqBUl7r///pDtWbNmDU8//XTQ7xoaGrjzzjvR6XR89rOf1Qol79+/n7feeovZs2cDcPToUc3ccPLJJ1NYWIhOp9MENl+TDaDVbdXr9RQVFWlCu29QDYwMhBaLhY997GMYDAYtr9ju3btHaeumTp3K//zP//j5uLlcLk3j6JvDK1YNgCSxhDN/hUse7dsH4hnF2tXV5Vcaz2g0YjKZaGlp8RPgYtESBl5jbW2tFkwQzsRVWlrKZz7zGX7961+zZs2asH5g4c4d6l7cdNNNfgurSy65RPM3Ho9P4pIlS6iqqkpY6p6xBL6o9+uZZ56hsLBQW7ja7XatWL06fjQ1NdHe3s4pp5wy6jjqXJWbm6uVefTtC6oJNZgA59sP9Ho9s2fP5lOf+hQ///nP/RQo69ev56GHHtLM38uXL9eeu5pzMFj0vdVq1QJVqqqqUhp9qpJoAa5cFd4AFEXpFUJUhtlf3W99hO8VILoCcCkkkpOzampVhbwFCxaELMismtlef/11AN566y1efPFFVq1aFTEhZTDneRhJvGswGFAURUs5oQ7wQNAyMDA6D1ZWVha33HIL69ePfmyhJpDALO4wvsjGSIOOmgxXTeipKApDQ0NUVlZqZglfTWEkoeTWW2/l1FNP5W9/+xuKomg+L6pWTE2lEory8nLee+895syZgxACvV5PRUUFxcXF7Nu3T8sHV1hYSH9/P//xH/9BdnY277//Pg6HY1QxZXWimDNnDs3NzdoA9/Of/zxorUSXy0VJSQl79uzhP/7jP7S8Yjt27KCiooLPf/7zKIpCY2OjX11bGPGJU0sMpdoHRBKZUEJGuOTRKvGMYnW73QwODgZdzO7bty9s9Gqs1xhMMwajx7QbbriBpqYmzj333HFVRQjGqlWrtDJrKhs2bIiLT2Ki/EItFotfoIZapxTCj7/z5s2jqKiIF154gWuvvVbzkc7Ly8PtdmsBUGqQQigNnDpXGQwGhoaGRgnUqgYuWIQqBL8vgX6qpaWlXHfddfz0pz/lwgsvxOl0UlZWxowZM8JG36vX41sFIlXRpyqJFuC8Qog6RVGaAYQQUwgRbHAiEo2Tc6CQF0x4GRgY0LKLv/TSSxw5coQzzzwTp9PJ/PnzIw6ogc7zeXl5WvJPGPEP8c21Fs2gHUserGAvVTjfnLE4XkcS+sxmM+vWrWPLli2aMDx79mxWrFihtS0WU5MQghUrVtDf3x80d11FRQWvvfZa0JUifFRx4je/+Q35+fl+k0pWVhYbNmyguLiY1tZWTjrpJHp7ezEajcyaNQshRNBiynq9XhsU1UoNoZ6LwWBg2bJlPPPMM8yYMUOL9jt48CDnnHMORqMRvV7PjBkz2L9/v5bMNC8vD4PBQEVFhRZYk06RoZLoCZc8WiWeUaxqFRHfmr7gn5IiXpHGwQS6UGPar3/9a5qamiKW5FOPMx7NV7r5JPqi3iObzYZer6ezsxOLxUJFRQVTpkwJO/7qdDpOP/103n77bbKzs/nHP/7Bq6++itfrRQiBx+PRqjjodDrsdrufD5yKOlfdf//9dHd3j7J+hNPAxYI67/qWkmxsbPTr64HR96rPYzo9u0QLcN8BXhVCbD3+eTnHI0IlIwQKecGEFzWC8tFHH+W2225jcHCQDz/8EJ1OpzmvRxpQfZ3n1XQhKoHCUTSD9njzYIXzzQnUhkHkFyUaoc9sNvvVVvVlrOkqQl3Hf//3f2va0lBUVVVxxRVXjCotpqr4LRYLAGvXriUrK4vBwUFWrlwZsk05OTmaoNXb28vNN98c9rlccsklPP/883zjGx8Fiuv1eubNm0dWVhYOh4OcnBw8Hg8nnXQSR48e1e7NGWecQWtra0pXn5Lxob7DDzzwADk5OXR1dXH++ef7acliDUIK976okfDZ2dmjtG3xyEsXrj2hxrQtW7bgdDpHCXaLFi3S+rd6LBh/0urx+iQmsuqJeo+ys7P96r729fVx5513Mjg4yD333OP3G19z+xlnnMHzzz/PZZddhsfjobi4WBvbhBC0tbVp9aNnz57N8uXLQ17PtGnTsNvto6wf4XzgwhHKXeDLX/6y1v7Avq76QttsNhRFobi4mJ6eHmpqatLG8pBQAU5RlOeFECcBpzGS+uMWRVGOJfKcmU6wFZraWdVyJ0ePHuWdd95hypQpGI3GmEroRLMCjFYDNp48WJEEplgHuXisbMdilgh3HatXr47pWCpqbb6NGzeybt06P1NzOEFdrQsLI7Umwz0Xi8VCdXU1P//5z+nu7qa6ulrLkQUjGsLZs2drufOEECE1tNu2beOSSy7hu9/9Lv/1X/81pmuWpIbly5fzq1/9Co/HQ05ODieffPKoouuxBiGF6p/q+LFixYq4atsgstUg1Jh24MABZs2a5SfYtbe38+c//5n8/Hwtae+LL74Y1m832vaPdaEY6ho3btxIaWmpFmk5HoFOvUe+5cR0Oh1Op5O6ujr279+vJfyF0eb2L33pS3R3d/P+++8zb948Pv7xj9PV1aVFodbW1mqCcFNTE9u3b+eFF16gpqZmVA1Uo9HoV1FDZawCXDTuAoF9Xc1vabVa6enpoaqqioaGBj/BPtWWh0RXYhDABUC9oig/EELUCSFOURTlzUSeN5MIlQUfPhJeTCYTQgjsdjtVVVXs2rWLwcHBqKOmfIlmBRitMDTePFihBKaxDHKpjLZLhD/KggULOHDgACtWrNC2RTIj5+bmagLcf/7nf4bUvvlOBKr/ntVq1TKyu91uLVGoOuDdfPPNmnDX19en5SOsqamhpqYGt9vNCy+8kFYCXCK1FScKR44cYfny5Tz77LOsXbtWm0hVoWQsQUih7rHaN+fMmRO2SsBYiGQ1CDWmqdel4lsdpaCgQEu3VFNTw6FDh1i0aJHfeZPpvxZ4jS6Xi66uLq0Q/HirbKj3SFEUSkpKsNvtOJ1OcnJyuPjii/nFL34R1txeVVXFr3/9a7/3rqqqigsuuMAvalcde9T739ra6lflRb3OYAXrQ+WBi0Q07gLB+rqa+833fqoly9KBRJtQ7we8wNnADwAb8ARwcrgfnQhEM3kEW1Ht3r17lPp+3bp1wEjHXr16NTNnzqSqqooFCxaMKWoqlHCktllNpqiujFKhKo51kBvPyjYaki0MTJkyheuvvz4mjaJqBgNGBYj44jsR9Pf343Q6tWoPWVlZfoOrOrnV1tZy4MABqqur8Xq9ZGdnY7VamT9/Pm+//TYQXdkuSM69THQJqXRiPPezu7ubVatWceTIEW2x4CuUjCUIKdy5AC3hajyvKZLVIJQgWl9fr6VVghGtjMfj0fz01OAd1X/Pd1/1c7zrz4b6beA1tre3a0ECwZKJx9oG9R6p2q3CwkJcLhfTp09Hr9dzzjnnsGPHDq1Wc2BuU5VwY/fWrVu1yhdqOTE1JZHqZ9bd3U1+fj5Wq3VULVT1OcSqgQtWazqw/YmeQxJBogW4UxVFOUkI0QRaFGp2gs+ZctasWcOePXu0Mh1q4fOFCxfS2Nio7Rdq1dja2ho08jGa3EPREOwF853wamtrycnJobW1FafTmdJEhbEQbuAY74CaSNNFMMaiUczPz9cCNIqLi0Pup5ZV6+/v19It5OTk4HA46O3txe12U1hYiN1u1yawrVu30tfXp6UDGB4e1hJgPv/88wCa/50vkeqsJkqwSmYJqVQyXkFV1brccsst2rZAoSSWIKSWlhbmzZunaUp8USffSNaCsVxTJKtBqMkZ/N011PJKvlo5g8GAzWbT8lyq+yai/my43wZeo8PhICsry6+tvv6JsbZBvUdbtmxh7969WrUHNQ/mjTfeyPXXXx9V4Fqoa3vvvffIz8/X7rUaBKUuGNVnppYU3Lx586jjzJ49m/nz58d0bogu8C5R0b2JItECnEsIkcXxyFMhRAUjGrkTmsmTJ/Pee++N8ivz9R9Qt40lpDwRnSxwwquqqtLq/WVabq94Cw2JNl0EYyyrwXvvvZd///vflJWVMWfOnKD7+JZVU7OQq/mWfJOgTpo0SYsA+/a3v82ePXt45ZVXOHr0KLW1tXzwwQecddZZOJ1OLdiip6fHL6VNNHVWEyVYJbuEVKoYr6A6VteDUL/r6upi3759XHHFFUF/N3v2bK38ni++72xg/q1orima6wg1bvq+ZwUFBZSWltLX16dVrVEFpZUrV2rtSFT92XC/DUwHZbPZGBoaoqqqiv7+fr+KMWNtgxro5fs8fKPdxxO4ppYpVCksLKSnp0cr2+drTTKbzVx88cUxHT8S4w28S0cSLcDdA2wEKoUQP2KkjFb6OMkkiAULFrBlyxa/MlkGg0FL/qqSTiHl8ZzwUul7lAihIdGmi1DEKqivXLlSm2RC4VtWTfVvATSfH9WM8ZWvfEX7zV133QWMOAKr/pcmk4k5c+awbds2PB4PFRUVdHV1sWnTJlavXo3ZbI6qzipE189ivafp9G4lkvG+t2M1G4X63a5duygsLOTPf/5z1NcQ+M4G5t+K5prGY/7yfc9826ImoM3KytL6tLp/OMbzTML91ldDtm/fPq2ep8fj4YMPPmDy5MnodDrNxD3efhHsOscTuKZeg2olyMnJobCwEKvVqo0Tibb0jKf96UiiitlPUxTlsKIojwghdgCrGIlCXasoSvjq2icAU6ZM4YwzzuDVV1+luLiYgYEBPv7xj2sFj1WiXf1GmzF9PMRrwku171E8hQaVRJsukolvWbV3332X4eFhTfN28sknj+oDvmRnZ2Oz2bT0KLfddpvmB6XT6QD44Q9/yE9/+lOKioq0rPi33XabdoyCgoJRptZI/SzSPQ0m3KVbCalEkaro61C/8824Hy2B72xg/i2I7priYZnwFQTVbP7JzPUWjSm4qKiIhQsXYjQatfrFNpsNq9WqOdwnagEznsA1tU1qlRs1TdHSpUtDpneKN+MNvEs3EqWB+xuwRAjxD0VRVgH7EnSetMNisXD06FGtzpqauFCdVHyJdtUYTQh0rG1M1ISXat+jYCvYsQgNvgTeG6/XS29vLyaTif379zNp0iT0en1Y08WWLVs0oSaVEZG+ZdXmz5+v1XxVk1RGSl6s7vvTn/6Uv/71r9jtdgoKCjAYDLz44otaDdbJkyczMDDArFmz/I5RXFyM3W6PKet+uD4FoXNzZZpD8liI9r1NllZczeAfC5HybyVb+B6vIDiesTSa3waW/SsqKkJRFHp6erR2p+MCRm1Tfn4+s2bN0toUyWogCU2iBDidEOK7wCwhxDcCv1QU5ZcJOm9KsVgsbNy4ka6uLqqqqpg3bx5vvfUWp59+OmeccUbIlBmRBotoQqBVImnrwmkz4jHhpdr3KNjKcyxCgy++gnZzczMul0urjOF0Otm/fz+VlZWsXbs2qOnC6XSyb98+Fi5cmHKtnO/AXlhYqJlTozFhqALcGWecwU033cSUKVO0e71nzx5efPFF7HY7JpMJp9NJYWEhDQ0Nfvddp9OxevXqmHIphetT4YS7NWvWnHACWyDRLAKTqRUeiwAXKf9Wpgnf4zXnRvptNNq1wDFLjZ5VFz2puJdjvS/JdMnJtNRDiRLgPg2sPX782N7mDKapqYmBgQGt3NDy5cvp6enhlFNOobW1dcz5Y6IJgVaJpK1L9ISXat+jULl8YhUaAlEF7cbGRsrLy3G5XJoZIC8vj+Li4pCmC4vFgslkSouIyMBBNDBPUziuv/56ioqK+OxnPwv432s1QEeN1uvp6eFzn/scn/zkJ4MO2LG8C/Euu3aiESqqfDxBAaEINsGpx+ru7ubDDz+ksjJiuWs/os2/FU8SPVGPR4sX6bfRatfUY3R1dVFeXq5p2VPp0hHrfUnm4iPd3V+CkSgB7gJFUe4SQuQoivKDBJ0j7eju7tbKXsHIQHnllVdit9vHPaGo5ZXUmpWlpaVBi9hH0tYlesJLtuo+2EAcapVXVVWlbR/rSlS9f0ajkaKiIgDNfAGjr7+zs5POzk4/c6tvvqNUMNbJ5dJLL+XSSy/1O456rwcHBxFCkJ2djcfj0fpcSUnJuAe/eJddO9GJR1BANMe12+08+uijWuoNk8mEzWYjPz8/6NgUivForMZCJk3UoQTNcPfL1woTmHT729/+NpA56XSS6ZKTavefsZAoAe5zwN2MaOEmjABXVlZGW1ubFnUKIyknDAZDVBNKuFWh3W5n7ty5vPTSS6xduxadThd00ImkrUu0hiyZg3G4gTgw9Um8Bu1Y8k2pCZGLi4vJzs7G5XJx8OBBqqqq6Onpwe1209jYmPZq+nD4CoPf+c53qK+v58iRI3z+85/n1VdfjYuGI1KfSjdfn1QTr6AAFXVc2rVrF3q9nrq6OoQQmhZap9NRXV2Ny+XSqjTEOunFIwAhWjJloo40ZoVqq68VJjDpNoy8J83NzTQ2Nqa9qTCZGvZM1OYnSoDbK4Q4AlQIIfb4bBeAoijKwgSdN6U0NDRw5MgRLRu+oigMDQ1RWVk5KoAhkEgva1NTE2eddRatra2sXLky7KATLmFhMjRkyRqM1YHY5XLR0tKi1WjcsmXLqKimeA3aseSb8jW3Hjp0CK/XS39/P+3t7eTm5jJr1qy0Xv3HSnV1NQUFBZqWUdUUx+MaQ/WpZGtv0hlV0Nq2bZvmR6aWQ4slKMB3IanX67FarVRUVAAjY9rBgweZPn067e3tCCG02pkGg4Hh4WGEEGk96SVjoo6HiXasY1agFcY36TZAZ2cn3d3dlJeXk5WVxTvvvMMbb7zBvHnzWLFiRVq9O8l0yUm1+89YSIgApyjKeiFENfACEN9sfGmM2Wxm3bp1bNmyRct1M3v27KheimDJYjs6Ovj973/P4sWLaWlpwWw2+2VMDzXohEtYGG7CyzQHzu7ubrKysjh8+DAGg4Hc3Fzcbjd79+4dZcKJ16Adi8Dga26trKzkgw8+wOl0IoSgqKiIzs5OCgoKyM/PT7vV/1iYNGkSnZ2d3HjjjX4D4Xg1HJH6ZTK1N+mK7wJQDdpRBa1YggICF5LvvvsuDoeDkpIS8vLyNItCW1ublk7H5XKxZ88ePB4PTqcTnU6X1pNeoifqeGn7Yx2zfN+ThQsX8vrrr2vjzllnnaXVF1Vru7pcLm3szM/Pp7m5edwLrXjPIcl0yUnHyN1IJCoPXKGiKO3AoiDf1QX5yQmD2WweU04b35e1r6+PQ4cOYTAYUBQFu93OsWPHyM7O9stlFm7QCZewMJTTc6b4haiUlZXxzjvvYDAYNJM1gMlkGiUslJWV8eMf/5jOzk5tm+ob8txzz8WUTy9agcF3ohgYGKCsrIxjx45pA6bL5aKtrY1Zs2altcYiWiZNmsTu3bvjnhQ6VL8EMmrBkUh8F4Cqxg1GyvLp9fqogwLU43i9Xrq7uzUXgLa2Nu24BoNBK7OWlZXFzp07+cc//qEdo7i4OKLFIZU0NDSwbt06jh075lfqsKCggD/96U/jzq0ZL21/LIJm4Hty8skns3nzZux2O2VlZZx77rma8F5eXu6XBzInJweTyYTH4xnXYnLHjh1s2rQJj8eDyWTC7Xbz4osvjqrtHct7mkwNeyZq8xNlQt0CnATgkwtO5Sn1O8lH+L6s7e3tmkBiNBoxGo1auoeCgoKoVgexJixMtl9IPFZqDQ0NvPHGG1ppHpfLhcvlor6+fpSw0NDQwPTp0+ns7KSsrAyPx4PH40FRlDHn04umfeqKTtVWCCG0BMAGgwGHw5H2avpoqa6upqOjg5KSkpBFv2N97uHy6jmdzoxacIyFaO9XYG4wNVmq1Wr1Sw8T6Xjd3d0MDw/zla98Ba/Xqx1v8eLFzJ07F4fDQU9PD16vVxuz9u3bR3V1NZdccgkGg4Grr746qmcwngTl4xk/zGYza9eu5eGHH8ZoNJKdnU1RURFWqzUuY0G8FjCxaIQC35PKykqWL1/Os88+y3//93+zfv16bd9HHnmE/fv3ayZWj8ej3cfxLLQ2bdoEjPhculwuWltbKSoqYtOmTcyePXtM76n6nNVUKHa7XfsuXOS1WkIxVsEx07T5iRLghM//S8N8JzlOsMne7XZr1RsqKysZHh7GaDQmZHWQTAfOeGn7zGYz8+bN017uvLw86urq0Ov1WoSo77633XYbl112mSYoFxQU4HQ6E1ZWxXdFByN51GbOnElHRwculwtFUbRC0dGo6dPNxB3YHpfLhcfjYe/evTidTmpqaqisrNQmnhkzZsT83EP1ywMHDjBr1qy0d0QfD7G8J8FyqRkMBmbPnq0F9ERzvLKyMrZt24bX6+XSSy/FZDLx6quv8sorr7B169aQbf3Upz7FBRdcEFOfHGuC8niMHzfccAObNm3SEk+Hy60ZK/Ey0UbSCPm+fy0tLUybNs3v96tWrWL//v2jrkn1WczKysLj8Wj5HcfaThh571TNG6ApINra2sjJyRnTe6o+Z1UbDDA4OEh2dvao5x3YJzo6Onj99depr6+nsrIyZB9JtzE1VhIlwCkh/h/ss4Tgk/306dP9osbq6uoSVlg+mQ6c8dT2rVixQntxI61SP/axj/HVr36VDRs2UFVVRXt7e8h8etEQzcuvruh8s5AbjUYsFguDg4NROw6nm4k72ID5wQcfACMCVnl5uVZvtba2Vkv5Ee65B7ufofqleh5f0j1iLBSh+lEs70k02ppojtfQ0MCzzz4LjLxblZWVLFmyhJycHM0XbuHChUyePBkhBEIIdDrdmN6hWBKU+9LU1MSDDz44yh3iRz/6EUuXLo3KBBpLbs1YCfcsYhUYQmmEAt+/trY2Dhw4wOzZs7U5Q6/Xc/vtt4+6JrfbzcyZM/nwww/p7u7GYDBQUlKC0+kcs89XS0sLw8PD2Gw2zSSbk5PD0NDQqDkk2vdU7a8tLS2am4zL5cJqtVJbW+vXbwP7ttVqJTc3F6vVSlVVVdC+nm5j6lhIlABXebwCg/D5P8c/VyTonBlP4GSv1+uTVkommQ6c8dT2xeq3EC5CNxZiffl92+lwOFiwYEFMq710S30QbMBUn6nVaqW+vp6CggKMRqO26FCrVKj1G1WtaV5eXsj7uWjRInbv3g3498v6+vqQZtpMIlw/iuU9ieY9iOZ4ZrOZKVOmACMTvdFoZN26dQnpY2MVolQn/Zdffpni4mJte1dXV1jtXaDwtHz58riMBYGEehYQuuzbeCNUa2trOXDgAM3NzcyfPz/s+K0uihYtWuRXS7WgoGBMbbFYLBw7dgy9Xo/b7cblctHT04PRaESv1496ntG+p2p/dTgcWm5V1e0ksN+2tLQwODjI0NAQeXl59Pf3U1BQoC32YHRfT7cxdSwkSoB7kI8qMPj+H+C3CTrnCUMqnCmTec54a/ti8VsIF6EbC2N5+cfjX5FuOYoC2+NwOCgvLwegt7fXr33PPfcct9xyC319feh0Oi699FImTZpEbm6uVuJs69atQe9na2srixYt4uWXX8ZqtVJcXMxZZ51FVVVVxkWMBSNcP4r1PYnUv2I93vXXX++3byIYy4KqrKyMU045ha1bt+J2u9Hr9QwPD5Obmxvy98EE5bfeeovVq1fzu9/9blxjQTCCPYvGxsa4CQyB719RURGTJk3i4MGDvPnmm9p7Euy4geX0DAYDg4ODY9Y8NTU1af5mer2eoaEhhoeHcTgcnHfeeVgsljGVMVT7q2/0s8vl0o6j9ltVgISRe+pyubDb7SiK4udKE9jX021MHQuJSiPy/UQcdyKRCmfKUNGp8fYRSHW4drgI3WhJ1Msf6n6nW46iwPaodWEB7rnnHu677z5tX4/Hw7Rp01iyZAmbNm3iyJEj1NXV4XK5AKipqeHQoUMsWuQftK4mHO3q6qK2tlYrgL179+4Tplh9uH50zjnnxPU9ifa96+3tJTs7e5SJOhEEW1BFGnPU6zjjjDP417/+RWFhIf39/XzhC18IKYSFEpSnTZvGsmXLEuYH60s8x4zA96+vr4+2tjbKyso0Ddzu3bupqqoK6tYRzbsTSwBNZWUlubm5tLe3k5WVpZXuUgW4sbyn6nMuLi6mtbVV8xuuqKjw67e+AqTL5UKv15Obm4vNZmPKlCkhrVjpNqaOhURp4CQnAInyEUh1uHasEbrBiOfL7xtp1d3drTn/+97vVAu9gQS2p7i4WKt/arPZNFPKtGnTKC4u5rrrrqOuro7s7GwGBgb8gk4KCgq0vGKB91PV7J2oxerD9aN4vyfRHq+3t5eSkhI/5/ZE4rugijTmqO+Kw+Fg6tSpbNmyBZfLRVlZGV/5yldCniOU8NTT0zPusSBa4jlmBL5/LS0tAFqVjEjavUgKgrEE0BQVFWkaL9/rHKsywre/qho9o9FIVVWVnzAZKEA6HA6Ki4spLi6mqqoqZF9PtzF1LEgBbgIS7coqkT4CmRauHUi8Xn7fgVL112htbfWrW7llyxaKioq0FA5Go1ELDEhVRFWgMKAOqpHC9isrKxkaGmLx4sXaNrvdzrRp0xgcHAT876fRaDxhghWCEakfxfs9ieZ4qgCXLHwXVK+++mrIMQc+8iGrra2lvLxc08J9+9vfDtvmdNC2xFNgCHz/3G43s2bN0sYM9RxjfU/iHUAzVqLpr+EEyHBBf6lWJMQDKcBNMGJZWY1V5Z/podnREK+X33egVLVSbrdbq1vpdDrZt28fCxcupLa2VhscA+9pMiKqLBaLX5WR+vr6URG0S5YsCXuMmTNnBvWJCZaYd7zF6jOhH6bjJJJsAc6XcGNOMKFCLS8YyQQajZAxlrx0sfSxRGhU1d82Njb65UiD8Qmo8Q6gSSTjESAzXZGQqEoM3wj3vaIov0zEeSWRiWVlNZZV64kQmh0t8Xj5fQdKX2ddVRtnsVgwmUwRn1eiI6osFgsbN26kq6uLvLw8FEVh//799Pb2snbt2qjPMXfuXN59992Q+QyDHWcsg3Om9MNECJnjPWZvb69fbrZkEm7MCSZUVFRUcM0110QUOKMRMmLNSzeWPpYogSHeWrB4B9AkklQLkKkkURo4Nep0NnAy8PTxz2uAVxJ0TkkUxLKyGsugcCKEZicT34FSLVWkRlrZ7XYGBgaYO3eu32+CPa9ER1Rt3bqVlpYWzbfNZDKRl5eHzWaL6dnW19fT09PDypUrKSgo8PsulOAxlsE5E/phIoTMeByzt7d3VJ9LFjk5OWzdulV7B2pqajCZTBG1sbHkZAxFrHnp0qmPxVuIyTT/sEzXpI2VhEahCiFeBE5SFMV2/PP3gL8m4pyS6IhlZTWWQeFECM1OJoEh/Wo0lToxzJs3D73e/zUN9rwMBgPvvvsubrebvLw8Jk2ahF6vj4uPj8Vi4b333sPtdmuld1Qzm1qGJ1rUbPGHDx9m4cKFfucIJ3iMN80CpF8/TIQAEI9jpsqEumPHDrZs2UJubq6WGuTQoUNcdNFFWtuDCRVjqfARylwKIyX5oslLl259LJ5CzETWamUSifaBqwOcPp+dwNQEn1MShlhXVrEOCungLJwp+EbUqcEJhYWFTJ8+XUuxMWfOnKCJbH2fl8VioaenR/Ohczqd7N+/n8rKStauXRtVG8JpLpqamjCZTLhcLrxeL1lZWcBI6oKSkpKIz9b3HD09PcBoAS7ewkwm9MNECADjPabX69Wea7J5+eWXyc3N9XtmdrudPXv2aMJYMKFiLH0nlLn0sssu46mnnooqL10m9LHxMFG1WplEogW4PwJvCiE2MlJCax3whwSfUxKGSCur8RSYhsxTvacKX42TGpzQ2dmJ1WqloqKCgoIC7HY7u3fvZtGiRX7RnYEr4aamJiorKykpKfGrcKBmqW9sbAwqoEVrbuvu7sZsNjM4OKglyAQYHh6moKCAhoaGqK6ztLQUj8cDwM6dO/nkJz/pd45ggsehQ4fYtm0bADqdjsWLF2t1FsORCf0wEQLAeI/Z19eHoihxF+CiWShYrdZRNYzz8vKwWq3a52BChVrhI/B34YTWUObSL37xi+Tn50eV6DsT+pjkxCahApyiKD8SQjwHLDu+6XOKojQl8pySyIRbWY21wLTvsaXqPTLBtAYDAwMAWikj32oE4cLhVeHHaDRqE6CiKLS0tIQV0KLVXKhCwZw5czhy5AhWqxVFUaiqqooYwBB4joqKCvLy8ti5c6fffqEEj1/84hdajiuAu+66i29/+9vhbi2QGf0wEQLAeI+pVtGIpwAX7UKhuLg4aB/wLZcVjLEIreHKeEWb6DsT+phkbGRCBDskJ42IEehXFOX3QogKIcQ0RVEOJ+G8acd4O0UyOtVYC0z7IlXvkQmmcXK73Zp2SyUa81eoCSxcElyz2Ry1uU0VCvLz81m4cKFf6o9IzznwHEIIqqur/YQy9RxPPfUUNptNi8Q1mUx0dHRw+eWXc+2113LppZfS3t4e9ny+pHs/TIQAEO6Ybreb/v5+gJCJehMhwEW7UDjrrLN44okngI+Ez6GhIVavXh32+NEKrdHWQo0l0Xe69zFJ7GRKBDskWIATQnwXWMpINOrvAQPwJ2DC6ZjH2ymS1akCV6bt7e2cfvrp/P3vf0/aSiRZq59Q50nG+YMJXYHBChCd+SvUBBYpCW60motQQgGENs+Gu87y8vKggpgqvKqCxeDgIE6nk9NOO40LL7yQwsJCLdlvrIR7pqlcbSdCAAh1zFWrVvHKKyNJAG6//XbuvPPOUfuMR4ALdR+DLRScTicHDhzw21fNIehb93b16tURcwtGIwgnuxaqJHNJp+jiSCRaA7cOaAB2AiiK0iqEKAj/kxOT8XaKZHYqVQvX09PD4OAgJ598ctJWIskSVEOdZ9GiRezevTvh5w8mdJlMJoQQMRd+DufcHU5Ai8XcFigURPucgp2jpKSEt99+G0VRNGFN9eObOnWq9tv9+/cDMGnSJADy8/NjFuDU5MN79+7FZDJRW1tLR0cHDz30EOXl5RQWFmp+h+m+2o4Vr9er1afdv38/r7zyCp/5zGfYt28fjz32GD/+8Y+1+68oCh0dHVqS5kCBKxLh+kOwup3vv/8+eXl5o/ZdsmRJRIEtGJEE4WDjp81mw+PxMGnSJEpLS7FYLBn/zCXjJ92ii8OhS/DxncrIsloBEELkJ/h8aUt3d/e4SgKN9/exoGrhDh48yPLly6msrNTq6+Xn52tlbRKB70CbyHOGOs/LL7/st93lctHR0cHvf/97GhsbsVgscTm/KnQZjUYtAnXdunWsXbvWb1u0goTZbGbNmjVce+21Wo3QhoYGv8ADu92uVXEI1YZozxftcwp2juXLlzM0NMS+ffvo7u6mu7ub9vb2Uf1bzSw/VgFOFSpaWlowmUwA7Nu3jw8//BAY0fC1tLTQ2dmJ2+1OWh9PBhaLhdmzZ5OXl0deXh6LFy8mKyuLn/3sZ3zhC1/gyJEj3Hnnnfzv//4v999/P2eeeSaTJk3iS1/6EjCiJY2FcP0hsB8Gq9uZ6HseOH729fXR2tqKx+PhtttuQ6fT8eKLL8bt/ZZkLmVlZVoidZV0jS5OtAbucSHE/wHFQogvAtcBv03wOdOS8UaHJTtkff369Tz66KOcc845ftsTvRJJ1uon1HmsViuzZs0CRgb5Q4cOYTAYNAEontqZUFqDSMeOxuQXLEVJsPqpYzXhxVpqx/ccOTk5AMybN0/bVlBQwL333ut3zI6ODsBfgFMDPaJBFSrcbje5ubkIITSNlFpbFiA3N1crXaZeR3Nzc0TzcCwk00yrCq4Wi4V58+axaNEinE4nF154IVVVVaxZs4avf/3rfOc739F+U1payk9+8hOKi4uZNGlSzJUYwvWHQA1xvOt2RkPg+Kma8AsKCqIq/i6ZOGRSdHGio1B/LoQ4F+hnxA/uDkVRXkrkOdOV8XaKZHeq0tJSbr/99rjW14uGZAmqoc5TXFyMw+HAaDTS3t6upawwGo1pMchHY7oMlqIkWP3UwOPGImCM5zmdffbZ/O53v9O0aYcOHeLXv/41e/bsYf78+QwNDdHR0aFFqjY1NWlamlg0cKpQ4VuiTFEUvF6vlukfRhK3+q64Ozs76e7upry8PC5m1WQ7RauCq9frZc6cOaxfv56Ojg56e3vZsGEDZWVlNDU1+UV3FhUVkZubG7L9kfpGpP7gK8THu25nNASOnzabDZ1Opy0O1O3paCZLBzIlKjMeZFJ0caKDGO5SFOU24KUg2yYU4+0UqehUqViJJOucoc5z1llnaYlzHQ4HWVlZuN1u6urqtH1TOchH4wsZq7/kWASM8TwnvV7Pddddp30eGBjg3nvv5dFHHx0V3GA0Gtm3bx979uyht7d3lGkjHKpQoZYog5EACdU0XldXh6IoHDhwQKvv6nA4aG1tpaamJm7+psl2ilYFV7fbTVZWlp+5cNasWdjtdl577bWoBMhIfUOd2Jubm+nu7qampobKysqw/SEV40rg+FlQUEBxcbGfFjBdzWSpJpOiMuNFpkQXJ9qEei4QKKxdGGTbhGC8nUL9vTpobt68OaGroVQIjfE8Z7hVY7jzVFVVaf44QgimT5+uDfSpHuSjMV3GaoYei4ARz+dkMpn4/ve/zxtvvMHQ0BAwInxlZ2drAkhhYSFut5vu7u6IzuZf+MIX+Mc//oHH48HhcCCEQFEUPB4PQgg+9alPMWfOHAoKCnA4HFoAQ09PD2VlZZSXl1NZWRn1/YtEsp2iy8rKGBwc1KpmjMdcGK5vAH6a3pycHFpbW3E6nUHN9Sqp0nD4jr+qUBJrwNBEJJOiMicaCRHghBA3AF8B6oUQe3y+KgBeS8Q5JwrJXg2lYiUSj3NGc5/C+aCpQQAvvvgier1e086kepCPxnQZq3lzrAJGPPuG6o/V2NjI9u3bMZlM9PT0aJUbhoaGMBgMOJ3OiBPH3/72NyZPnszSpUux2+10d3czPDysFUrPz8+nqqpKEx7WrVvndzzVxBcvM36y/VcbGhp47rnnAMjKyhqXuTBc3wic2KuqqigoKMBoNIZNPA2p13Bkkpks1WRSVOZEI1EauEeB54A7gdt9ttsURelJ0DknBONdDU0UX4Z4rBrTcZCPxvwUap8ZM2YEdcxPp5qOqnnL5XJpJkAhBMPDwxiNRoaHh0NOHBaLhW3bttHX18eaNWv40Y9+NOpZLVmyhJ07d/LLX/4yZBvibeJLhMnw0UcfpbW1lby8PD7/+c/7+a+ZzWZWrlwJfFTuzNdc2NfXR0tLC263m8bGxrBjQLi+kekTe6qFyEwhncYHiT8JSSOiKEqfoihHFEVZryjKh4CDkVQiJiFEXSLOOVEYTzoRX7OBr1bqRAydj1falWDpOVJJNKk/gu2j5rcL9uwjpRtJJmVlZRQXF+NyuRBC4PF4cLlc6HQ6SktLGRoaoquriw0bNvildVH7dltbGzASsRqsb69YscLPVBuM8aRXScbxOjs7ueqqq7j11lu56aabtOoFvqhRpKeddhqf/vSn0el02O12rFYrBw4cwOFwMG3atIhjQLi+kUnpFlKJxWKhsbFxVJ/NFNJpfJD4k+gghjXAL4EaoBOYAuwF5ifyvCcy41kNTSRfhhN51RiN5iBwn8bGxpDPfs2aNWmjaVS1VTU1NbS3t9PV1UVWVhazZs3i0KFDWvLfY8eOcfjwYf75z39y2mmn0dnZqUWvAlRWVmq5xXyvY8WKFfzqV7/izTffDFvfN97amXger6+vD4AHHniAb37zm7z22mtcddVVfvs8+eSTwEjAiK8mWQ3YqKuro7CwkL6+Pi3P4eLFi0dp4yJpoWPR9E5EToQAgHS0REhGSHQQww+B04DNiqI0CCHOAtYn+JwnNOMxx2S6ySMWMimXTzKI9OyTZU6KZML3nSz0ej1Tp07Voka9Xi8AXV1dFBcX09vby7333hv0PBUVFUH79rJlyxBCsHXr1rACXDqjplKpqKjgtNNO49///rff9/39/Vx77bUAWk5D9fmq/UAIEXWew3C+ooET+4wZM5JSySRTOFEWzdLcnJ4kWoBzKYrSLYTQCSF0iqK8LIS4K8HnPKEZz2ooU7RSV1xxBe+///6o7TNnzuQvf/lLVMeQq0Z/0uHZR6uNCIy2Vp9fdnY2MCKM6nQ63n77bYQQrFu3jvz8fMrLy8nJycFoNDJlypSg11daWsrChQvZunUr//3f/x23a4tHn40WNZlxfn4+Z555Jj/4wQ/o7+/XfNw2bdoEwCuvvMKyZcv8fuvbD+KR5zAWTe9EfPcm0qJZknwSLcBZhRAm4BXgESFEJ+CO5odCiAuAu4Es4LeKovwk4Psi4E9AHSPX8XNFUX4fz8anK2NdDWWKVmr58uUcOnTILxt8e3t7zBqTibZqDKfdSodnH4s2IlDY6+jowGazad97PB727dvH5MmTOe200zAajeTl5ZGfnx/x+lasWMGDDz6I0+nUhMJoCXWP49Vno0HVwJlMJs444wy8Xi/btm3j3HPPBeCJJ55g0qRJnHnmmaPaW1NTk9A8h+kqsCRTwPYlHRZOkhOXRNdC/SQjAQy3AM8DB4Hw8eWAECIL+H+M5IybB6wXQswL2O1G4D1FURYBK4FfCCFiG40nGPF2pk4U69ev11JGADidTgwGA1deeWWKW5a+RApQSYdnH0tgSWBtTavVSkFBATCSUmR4eJj29nZqa2spKSmhrq4u6utbsWIFDoeD7du3x9T+cPc4GX1WdYZvbGwERjRxp512GjqdjjVr1nDDDTdgt9t57rnnWLduHa2traPau3v3bhYtWqQJFPHOc5iugQ3Lly8nKyuLyZMna39ZWVkJN6PLAABJIkl0Ka1BACFEIdAYw09PAT5QFOXQ8d8/xogw+J7v4YECIYQATEAPUWr3JjKZoJUqLS3lqquuYsOGDVRXV9PT08O1115LSUlJqpuWtkSj3Ur1s49FGxGoyXE4HNrzd7lcfPDBBwDMmDEDnU6nacKiuT510v7Wt77FGWecwZ133qmZEsMR7h6vWbMmoX3WVyOp148M2zt37mTu3Lk8+OCD/PGPf+S3v/0t3d3d2O12Lr300pDtbW1tZc2aNQnJc5gOmt5grF+/nkceeUTTuiZrUShdOSSJJKEaOCHE9UKIDmAPsB3YcfzfSEwGWnw+W45v8+U+YC7QCrwN3KwoinfcjZakBapGY3BwUGrfoiBeaVMSSShtRE1Nzag0C4GaHN9r+9vf/sZzzz1Hbm4u8+fPj1mTWF5ezvr16zl06BC/+MUv2LZtW1S/i3SPE9lnfYWx4eFhAIqLi2lqauK6667jd7/7HVVVVbzwwgucdNJJLF++PGJ7zWYzixYtoqWlhTfffJOWlhYWLVo07moxqdb0BkNdFPb0jKQh7enp4aqrrkrKojDdUhFJThwS7QP3LWC+oijHYvydCLJNCfh8PrALOBuYDrwkhPiXoij9fgcS4kvAlwDNz0OS/qgD7i9+8Qu++c1vSu1bBDLB1ybaqMWNGzeSnZ1Nc3MzJpOJ2tpaiouLKSkp4dJLL/WrZXrVVVeNaUJU665OmjSJt956i49//OMRfxPpHieyz/pqJNUcdiUlJZowVl9fPyq/WKT2WiwWdu/eTW1tLVVVVVgsFp588kn27dvHihUrYr6vgf5255xzTloJK6oWTi4KJScKiRbgDgL2MfzOAtT6fDYzomnz5XPATxRFUYAPhBCHgTnAm747KYryAPAAwNKlSwOFQEkas379et5880050EZBupquAokUtehyuejq6kKn05GXl0dXVxednZ3MmTOHyy67jNbW1rjlF6uursZsNkftCxfNPU5Un/UVxlQBzuPxhBXQI7VX1eq5XC4OHz6M1+vF5XKxc+dODh48yOrVq1myZElU7cuEfGdyUSg50Ui0APcfwL+FENuAYXWjoihfi/C7t4CZQohpwFHg00DgiNgMrAL+JYSoAmYDh+LVcEnqKS0t5eGHH051MzKCTPW1CfR1a29vR6fT0dfXR2VlJZMmTcLhcNDR0UFVVVXUAkW0nHzyybz11ltR7RvqHgN+iWt/9KMfxV048BXGhoaGyMnJweFwjEoTEk171T6h3vuWlha8Xi8DAwPodB951WzatImqqqqo+lCm5DuTi0LJiUSiBbj/A/7JiI9a1P5piqK4hRA3AS8wkkbkIUVR3hVCfPn4978B/gfYIIR4mxGT621jMNVKJCcMqQ5SGAuBZj6Hw4HdbsdgMPjlKLPZbHEVBlRzn9vt5v333+fnP/85s2fPjqjVC7zHydI8+QpjVquV3NzcqM4Rrk+o997hcDA0NKQJb9nZ2THf83RNHxKIXBRKhnYxsgAAJaZJREFUTiQSLcC5FUX5xlh+qCjKs8CzAdt+4/P/VuC88TVPIpGkkkAzn16vZ3h4mIqKCm0fl8uFyWSKmzCgCl1er1fTlN13331Mnz6dK6+8kvPPPz9q4SuZmidVGHv88cf58MMPx3183yhUtd6soigUFRXFfM8zwQdTIjnRSHQeuJeFEF8SQkwSQpSqfwk+p0QiyRACoxZra2spLCzUyma5XC5cLhclJSVxEwZUoctqtTJt2jRmzJiB1Wrln//8J263m6ampqiP1d3djcvlYv/+/ezatYv9+/fjcrkSqnkaGBjAZDKN+zjqva+trcXj8aAoCiUlJeh0upjvucx3JpEkn0Rr4FRHg//w2aYA9Qk+r0QiyRACzXw7duxg06ZN2Gw2TCYTFRUV6HQ6Ld1IsCAGi8XCli1bOHz4MDASlRkqklI19zkcDvLz87n++uvZuXMnf/7zn/F4PDEJXwaDgf3795OXl0deXh4ul4sDBw4we/bscd6V0AwODpKfnx+XY5nNZq6++mrmzp3Lpk2bcDqdfvc8WgEsU3wwU1WRQSJJBIlO5DstkceXSCQnHkuWLKGqqipoCahgvmYAGzdupKuri7y8PBRFYf/+/fT29rJ27dpRQoRq7lMFLl9/u97eXmpra0e1KRQjQfDh/x9v4qWB80W956oQ3NbWRn19bOvsTPDBTGbJM4kk0SREgBNCnK0oyj+FEJcE+15RlCcTcV6JRJJZqMEEzc3NOBwOjEYjtbW1NDQ0sGbNR1X3whVJhxGhJi8vTxPEhBAhnfAbGhp46qmnGBgYwGq1apUIYCTBayxmP7fbzcyZM+no6MDhcJCXl4fZbMbtTlxRmMHBQSorKxNybKfTyaxZs7S0I+mWCmS8pKoigyQ+hKv3PBFJlAZuBSPRp8HqniqAFOAkkgmObzCBarYcHBwkOzt7lOAQKcrR7XaTm5urfWcwGLDb7SHNoYqikJOTQ0FBAcPDw2RlZQEwa9asmCYEVZvnazINdOaPN4nQwEHogIwtW7ZQVFR0Qkyaskxf5pIJuQaTTUKCGBRF+e7x//5AUZTP+f4xkv5DIpFMcHyDCQwGA0ajkezsbKxWK/n5+X7BBOGKpJeVlaHX6/20XqppNJgTflNTE5WVlSxYsIBTTjmFZcuWafnl1Dqj0ZJs5/2vf/3rHDp0KG4+cL4EK73ldDrZu3cvdrvdb9IMrPqQScgyfZmJ7wJDCIHRaBw1Tkw0Eh2F+kSQbX9L8DklEkkGoAoMDodDE5wMBoNmivTVnoUTlBoaGjCZTDgcDlwuF06nE4fDQUFBQVBBKpigomr3+vr6YrqGYLU/Fy1aRFNTk19t17FgsVj8asS2tLRw9913A/CpT31qTMcMRzAh2WKxYDKZTqhJU9XCHTlyJGn1UCXjJxPqPSebRPnAzQHmA0UBfnCFQG7wX0kkkolEsGACl8ulCXW+2rNIUY7r1q3zi0KdPXt2yCjUYDnLhBgpvxyrAKe2zTcaVjXzZGVl8c477/DGG28wb968mOqLBjMXPfvsSFrMH//4x5x77rkxtzMSwUpvDQwMMHfuXL/9ToRJU1ZkyDxkrsHRJMoHbjbwCaAYfz84G/DFBJ1TIpFkEKrAUFxcTGtrKy6XC0VRqKioCFrHNVyUo5oOI5bzwkeCisPhwGQyjUmA8yWwvqjBYCA/P5/m5uaY/HWC+aOpbSsoKPDbN16O3cGE5Hnz5o0yK58Ik6asyJB5ZEq952SSEAFOUZS/A38XQpyuKMrriTiHRCLJTHwFjuzsbIQQmvnOaDRSVVWVUEf5UNq84uLicQtwvvVFfdOTqDnnxlOaSo2U9RXg4u3YHapUGMhJU5JaMiXXYDJJdCLfdUKIdwEH8DywCPi6oih/SvB5JRJJGhIocKgCwSc/+cmkDsTBtHlFRUXjFuB864uqUbGqWTgW02Mwc5HVagWgsLBQ25boUl5y0pSkE5mQazCZJFqAO09RlG8LIdYBFuAy4GUgLQW4/v5+Ojs7cblcqW7KCYXBYKCystJv4pFkBvHOu5TM2qGxUlRURH9//7iO4VtfVI2Kdblc1NXVxWR6rKmpYdOmTXg8HkwmEyUlJfT29gL+GrhkFJGXk6ZEkp4kWoAzHP/3IuDPiqL0qM7C6UZ/fz8dHR1MnjyZvLw80rWdmYaiKDgcDo4ePQoghbgMIhF5l5IhcIyVoqIiurq6xnUMVWO1ZcsW9u7di8lkor6+Hr1eH7Xp0WKxsHv3bmpqarBardhsNtra2rQIPF8BTjp2SyQTl0QLcI1CiH2MmFC/IoSoAIYSfM4x0dnZyeTJkxOagHMioqYemDx5Mq2trVKAyyASoS1LN4HDV8M4MDAQF0FSDajwPXZRUVHUpkff+15VVcXevXv5wQ9+oH1fXl6u/V86dkskE5dE10K9XQhxF9CvKIpHCGEHPpnIc44V1U9FkhjUVBGSzCER2rJ4CBzxMusGahizs7Pp7u7GYrHEzX9sLMcJvO9tbW3ASO63+vp6Hn30UQDq6+tZsWKF9FGTSCYoCUnkK4T4ts/HcxRF8QAoijIIfC0R54wH0myaOOS9zTzCVT8YK8ES38ZiklWFrnhUBgjM7F5YWIjD4Uh5ktrA+64GVkyZMoWcnBz0ej1ZWVns37+fp556CoA1a9Zw7bXXsmbNGim8SSQThERp4D4N/PT4//8D+KvPdxcA/5mg80okkjiRKPPceJzi42nWDdR0qfnb2tvbx9S2cMSiNQy8793d3WRlZWEymcjJydFSkwghsNlsaREAIpFIkk+iSmmJEP8P9nnCcPDgQd57771RfwcPHkzI+bq6uvje9743bsdsycRkvNqyRBDPcjqBmi5VGFTTf8SLWLWGgffdbrdjMpnIysryS6qrVq5IhwAQiUSSfBKlgVNC/D/Y5wlDQUEBw8PD2goaRnzvAjOrx4sbbriBoaEhbrzxRh5//PGEnENyYjPeFBLxTkMSzyCIQE2XKhy1trbS2NgIgMlkYsWKFeh0Y1/rjkVr6HvfN27cSGlpqZaaRB0/1PJjMuJUIpmYJEoDt0gI0S+EsAELj/9f/fyxBJ0z7SktLUUIoWVUVxQFIcQoR/F48Oijj5KTk8MzzzyDwWCQApwk6cTTX00lXFH7WAnUdE2ePBmA22+/nYsvvpiLL76Ys88+m9dfH18xGVVr2NfXx/79+9m1axctLS00NzdH9fuuri7MZjMmkwmHw4HL5cLpdOJwOCgoKBjTtUskkswnUaW0shJx3ExHr9dTVlbGsWPHMBgMuN1uysvLR9UajAdXXnmlVqj5kUceifvxJZJIJCINSbwrA/hquhRFYd26ddjtdgB2797N5z//eQYHB8d0bJWysjI6OjpobW3FYDCQm5uL3W7HbrdHFfHa1dXF0qVLWbduHVu2bOHw4cMAzJ49mzlz5tDU1MTmzZvjouGUSCSZQ6LzwEkCKC0tpbu7G6/XmzDtm0SSDiQqaW+iKgMIIZg7d672eXh4OC7HbWho4KGHHgI+8luDkWoLqjBrsVjIzs6msrJy1O+7urqoqKgYlV+uubmZTZs2UVNTQ2VlZVwSLUskkswhUSZUSQhULZzT6aSsrCwh2jeJJB1IRBqSYFgsFhobG9mwYQONjY3jMtH6oqa+UV0exorZbKa8vFyL5DUYDEyfPp3Kykq6urr4yle+Qm1tLTU1Nezdu9fvt06nk76+PioqKgB/s7R6b1tbW7HZbBiNRvLz81OeBkUikSQHKcClgNLSUkwmU9y0b5dccglCiKB/GzZsiMs5JJJYiae/WigC/ew6Ojp46KGHuP/++8ctzHV2dgLw4osvjvtYtbW11NXVsXjxYmbPnk1hYSGDg4M88sgj/O///i9f/OIXg76vx44dA9AEOF+ztMPhIC8vD4PBoCX7TZeyZBKJJPFIAS4F6PV6pk2bFjft24MPPkhbWxtHjhxBp9Px17/+lba2Ntra2jQ/OIkk2SQjDYmvQNPf309rayuAJjiONWjCYrHw5ptvAiORqGM9ltfrxel0UlFRwbvvvstbb73Fvn37OHr0KL/61a/45z//yfe//33+7//+jwsvvJA//elPeDwe7fdqCiBVgPNNo5KXl6dFparaOFkHVSKZOEj7XZyJd9qEaFAH7KamJrxeL8uWLaOqqkr7/tlnn+WWW27B6/Vyyy238JWvfCWh7ZFIVBLlr6bi62fX3t6OwWDQBJrxBE00NTVpgpJazzfWY7ndbk455RQ/k+b06dO55JJLeOihh9i3bx8//elPufXWWwG45ppraGxs5OWXX+acc84BRmvgfNOoVFdXc+jQIa0MoKrhlHVQJZKJgRTg4khgbcVkOxXv2bOHiooKP+HN7XZz8803889//pOysjItmm3SpEkJb49Ekmh8BRqHw0Fubq5fXeOxmhS7u7vJyckBPvKBC3ascAu2P/zhDzQ1NbF69WpMJhMffvghb7zxBj/72c8A+NKXvqQJbwCf+MQnKCoq4g9/+IMmwKkaOI/HQ2NjI83NzXR3d2uBCzU1NbS2tmpaSFkHVSKZOEgBLo4kIm1CLOzZs4eFCxf6bXvzzTeZN28etbW1AKxbt45nnnmGL37xiwlvj0SSaAKT8aopQOrq6oCxmxTLyso4evQo8JEAF3gsdcGWm5vLnj17GBgY4G9/+xvz58+npKSEH/7wh5xyyilceumlmqC5cOFC3G43U6ZM0dqokpubyxVXXMGf/vQn7r//fkwmkybA7dmzh+rqampra8nJyaG1tRWn00ltbS0XXHCBFNokkgmIFODiSKLSJkTLkSNHmD17tt+21tZWTXiDEZOWOjFJJJmOb144VYCrqamhoKBgXCbFhoYGzQcOCHosdcG2c+dOfvWrXwU9zu9//3vNHy8/P59PfOIT2vF8q0moXHPNNTzwwAM8+eSTXHPNNXR1dSGEoLKyUtu/qqqKgoICjEYja9asGXWMVLhxSCSS5CMFuDgSzzI/Y8Hr9dLS0kJLSwuTJ09Gp9MFTYGgpkeQSE4EfP3sAoWXsZoUzWYzp556KgD9/f1BzZPqgm3btm0UFhby61//GgCr1crll19Obm4uZWVlmqYO0FKJhBIszzjjDOrr67nvvvvIysrijTfeID8/n/z8fL/9Qi0MU+3GIZFIkocU4OJIoDkn3ECdCG666Sauu+466uvrGRgYICcnh8mTJ9PS0qLtY7FYmDp1alLaI5Ekm3gGTVRXVwOwatWqoJqusrIybDYbO3fuZOnSpZSXl2O32ykvL9fKcqltirZ6hBCCL3zhC/znf/4nV199NTBSccE3KAOCLwwtFguPPfYYNpuNgoICJk2aRGFhIZA8Nw6JRJI8pAAXR+Jd5idWVq1axYcffui37ZRTTuHdd9+lpaWF8vJyNm7cyObNm5PSHokkk4mUyLehoYH77rsPm83GySefHNZkG4tgedttt3H55Zfj9Xq187/66qtA6IWhqnmz2WyYTCZcLhcHDx5k+vTpFBQUyNxwkoxCugFEhxTg4kyi0ybEil6v51e/+hWrVq3C6/Vy8803U1NTk+pmSSQZj9lspr+/n6ysLKZOnRq3KFCdTsf06dP9thmNxrALQ9Ufr6CgAJfLhcFgAKCtrU2r/iKRZALSDSB6pAA3AVizZk1QE5BEIglNNKW0tmzZwsqVK7nhhhsS2pZIC0PVH0/NDQcjizebzSZzw0kyilRnc8gkZCUGiUQiCUIkAe7gwYPs3bs3LRZHat3ZoqIi6uvrMRgMDAwMUFBQIDUXkozCt9qIiiwRFxypgZNIJBlBuvnFPPPMMwBaapBU4htAVVhYiMFgYHBwUApvkowj1dkcMgkpwEkkkrQnFX4xWVlZAFx++eXa/31xOp3MnTt3lL9aIogkvKY6gEoiiRepzuaQSUgBTiKRpD2p8IuZP38+d955J729vSH3ueiiixJybl+iFV7TLYBKIhkLcjESPVKAk0gkaU8qqpxkZWVx++23J+z40RKN8Jpu5mWJZDzIxUh0yCAGiUSS9qhO+r5MFL+YSE7dqobObrf7aegsFksqmiuRSJKEFOAkEkna09DQoNUUVRRFS5rb0NCQ6qYlnEjCq6+GTgiB0WgkPz+fpqamVDRXIpEkCSnASSSStEf1izEajfT09GA0GidMhGUk4VWmXZBIJibSB04ikWQEifSLCeZDBqSFX1kkp26ZdkEimZhIAU4ikUxogkV5bty4ESEEFRUVaVHOJ5zwKtMuSCQTE2lCPYHp6urie9/7Hl1dXaluikSStgTzIRsYGMBms2WEX9lENi9LJBMZqYE7gbnhhhsYGhrixhtv5PHHH091cySStCRYihK32z2qhFY6+5XJtAsSycQjbTVwQogLhBD7hRAfCCGCJmMSQqwUQuwSQrwrhNia7DamM48++ig5OTk888wzGAwGKcBJJCEIFuWp1+sxGAx+26RfmUQiSSfSUgMnhMgC/h9wLmAB3hJCPK0oyns++xQD9wMXKIrSLISoTElj05Qrr7ySK6+8EoBHHnkkxa2RSNKXYD5kJpMJIQR2uz2pfmVqMEVzczMOhwOj0Uhtba1MzCuRSEaRlgIccArwgaIohwCEEI8BnwTe89nnSuBJRVGaARRF6Ux6KyUSScYTLMpz3bp1AEEjPxNV9UANpvB6vZqpdnBwkOzs7JQGUEgkkvQkXQW4yUCLz2cLcGrAPrMAgxBiC1AA3K0oyh+S0zyJRHIiEcqHLHBbtHVJx4IaTNHS0oLBYMBgMOByubBardTW1ia07qtEIsk80tUHTgTZpgR81gNLgNXA+cB/CyFmjTqQEF8SQmwXQmw/UaMxL7nkEoQQQf82bNiQ6uZJJCcMiax6oCbkdTgc6PUja2uDwYDD4UjrAAqJRJIa0lWAswC1Pp/NQGuQfZ5XFGVQUZRjwCvAosADKYrygKIoSxVFWVpRUZGwBqeSBx98kLa2No4cOYJOp+Ovf/0rbW1ttLW1aX5wEolk/CSy6oEaTJGXl4fb7QbA5XJpQp0MoJBIJL6kqwD3FjBTCDFNCJENfBp4OmCfvwPLhBB6IYSRERPr3iS3048rrriCk046adTfFVdckdDzlpWVUV1dTU9PD16vl2XLllFdXU11dTXZ2dlcfPHFlJSU8KlPfSqh7ZBITnQi1SUdD2rJrOLiYlwuF3a7HafTSXFx8YSp+yqRSKInLQU4RVHcwE3AC4wIZY8rivKuEOLLQogvH99nL/A8sAd4E/itoijvpKrNAMuXLycrK4vJkydrf1lZWSxfvjwp59+zZw8VFRVUVVX5bb/lllv4wx+ke6BEMl4i1SUdD2owRVVVFWVlZRiNRu19lgEMEokkkHQNYkBRlGeBZwO2/Sbg88+AnyWzXeFYv349jzzyCE6nk+zsbJxOJwaDIWlmzD179rBw4cJR28866yy2bNmSlDZIJCcykeqSQvC6qtEKXzIhr0QiiZa0FeAykdLSUq666io2bNigmTSvvfZaSkpKknL+I0eOMHv27KScSyKZqIQTsmKNUk1UShKJRHLik5Ym1Exm/fr1GAwGBgcHk6p9A/B6vbS0tNDS0oLX603aeSUSyQixRKmqwp7dbvcT9iwWSwpaLpFIMg0pwMUZVQt35MgRrrrqqqRp3wBuuukmdu/eTX19PS6XK2nnlUgkI8QSpZrIlCQSieTER5pQE8D69et58803k57CY9WqVXz44YdJPadEciITq4mzrKwMu92O0WjUtoWKUu3u7qa0tNRvm8z3JpFIokVq4BJAaWkpDz/8cFK1b+E455xzuOyyy3j22Wcxm828/vrrqW6SRJL2jMXEGUuUarCUJJ2dnRw7dowNGzbQ2NgozakSiSQkUoCbAGzevJmuri7sdjsWi4XTTz891U2SSNKesZg41ShVo9FIT08PRqMxZABDoLDX0dHBoUOHKC4ulj5xEokkItKEKpFIJEEYq4kz2lQggSlJrFYr9fX1Wh5H1Qwra6BKJJJgSAFOIpFIghCLP9tY8RX2NmzYIH3iJBJJ1EgTqkQikQRBNXF2dHSwf/9+tm/fzv79+6mpqUnI+RJZpksikZx4SAFOIpFIgmA2m1m0aBGtra3YbDZMJhM1NTXs3r07IX5piSzTJZFITjykACeRSCQh2LdvHwaDAb1ejxCCvLy8hOVqiyUAQiKRSKQPnEQikQTBYrHw3nvvkZ+fT15eHi6Xi4MHD1JfX58wvzRZC1UikUSL1MBJJBJJEJqamjCZTAghADAYDBgMBlpaWqRfmkQiSTlSAyeRSCRB6O7uxmw2c/jwYQD0+pHhcmBgIOF+abLIvUQiiYTUwElG0dXVxfe+9z26urpS3RSJJGWUlZWRnZ1NfX09BoOBoaEhAObOnZtQYUoWuZdIJNEgNXCSUdxwww0MDQ1x44038vjjj6e6ORJJSmhoaODFF18kPz+fWbNm4XA4GBwcZOXKlX77xVtb5lsBAmRCX4lEEhypgZP48eijj5KTk8MzzzyDwWCQApxkwhJNVGgitGXd3d3k5eX5bZMJfSUSSSBSAyfx48orr+TKK68E4JFHHklxaySS1BIpKjQR2rJkVICQSCSZj9TASSQSyRhJhLZMJvSVSCTRIAU4iUQiGSOJKH8lE/pKJJJokALcCcSuXbu46qqrMJvN5ObmMm3aNK6++mr27Nnjt9/evXvJzc0dtaJ/8cUXEUKE/fvjH//I2WefHfS71atXJ/NyJZKUkyhtmdlsZs2aNVx77bWsWbNGCm8SiWQUUoA7QdiwYQNLly4lJyeHv/zlLxw4cICHH34YgLvvvttv35tvvplvfOMbvPvuuzidTm37smXLaGtr0/5qa2v55je/6bftiiuuoKmpiR/96Ed+29va2vjzn/+c1GuWSFKN1JZJJJJUIYMYTgBef/11vvCFL/Czn/2MW265RdteV1fH8uXL6enp0bY9+eSTeDwevv3tb3PnnXfy3nvvsXjxYmDEd0f15+nr68NisXDmmWdSXV2t/f7gwYNYrVZWrFjht10imajI8lcSiSQVSA3cCcA3v/lNTj31VD/hzZfS0lJgxDfnW9/6Fj//+c8pLi6mpqYmZFHunTt3oigKS5Ys8du+Y8cOsrKypEO1RCKRSCQpRApwGc7777/P66+/zle/+tWI+/7kJz/h4x//uCZ8zZ8/n127dgXdd8eOHZSVlVFXVzdqu8fjobKyEpPJpP1ddtll474WiUQikUgk0SFNqGH4+te/HlLASRSLFy/m17/+ddT779y5E4ClS5eG3e/IkSPce++97N69W9u2YMECduzYEfK4J5100qjtO3bs4NJLL+UnP/mJ3/aioqKo2yyRSCQSiWR8SAEuw7Hb7QCYTKaw+91yyy309vYybdo0bZuiKJhMJhRFQQjht//OnTtZt27dqOM0NTXxX//1X8yYMSMOrZdIJBKJRDIWpAAXhlg0YaliwYIFAGzdupUrrrhi1Pd2u51XX32VrVu3smPHDrKzs7Xv9u3bx2WXXcbhw4epr6/Xtg8MDPD++++P0sAdPnyYnp4e6f8mkUgkEkmKkQJchnPyySdz0UUX8dWvfhWHw8GZZ56JEIKdO3fy4IMPcscdd3DzzTfzzW9+c5RApvq3NTU1+QlwTU1NeL3eUfur5tbq6mra29v9visvL0evl91JIpFIJJJkIGfcE4Ann3ySu+++m1/+8pfceOONZGdnU19fz+rVq9m6dStdXV187WtfG/W7wsJCqqur2bVrF5deeqm2fefOnRQVFfkJdfCRADd37ly/7UIIenp6KC4ujv/FSSQSiUQiGYVQFCXVbUgaS5cuVbZv3x70u717944STCTxRd5jiUQikUiiRwixQ1GUoFGKMo2IRCKRSCQSSYYhBTiJRCKRSCSSDEP6wEkkEkmSsFgsNDU10d3dTVlZGQ0NDbIMl0QiGRNSAyeRSCRJwGKx8OKLL2K32yktLcVut/Piiy9isVhS3TSJRJKBSAFOIpFIkkBTUxP5+fkYjUaEEBiNRvLz80PWI5ZIJJJwSAFOIpFIkkB3dzd5eXl+2/Ly8uju7k5RiyQSSSYjBTgfJlJKlWQj761kolNWVobD4fDb5nA4KCsrS1GLJBJJJiMFuOMYDIZRg6skfjgcDgwGQ6qbIZGkjIaGBgYHB7Hb7SiKgt1uZ3BwUJamk0gkY0IKcMeprKzk6NGj2uAqiQ/qRHX06FEqKytT3RyJJGWYzWbOO+88jEYjPT09GI1GzjvvPBmFKpFIxoRMI3KcwsJCAFpbW3G5XCluzYmFwWCgqqpKu8cSyUTFbDZLgU0ikcQFKcD5UFhYKIUMiUQikUgkaY80oUokEolEIpFkGFKAk0gkEolEIskwpAAnkUgkEolEkmFIAU4ikUgkEokkw5ACnEQikUgkEkmGISZSzjMhRBfwYYJPUw4cS/A50pmJfP0T+dphYl//RL52mNjXP5GvHSb29Sfj2qcoilIR7IsJJcAlAyHEdkVRlqa6HaliIl//RL52mNjXP5GvHSb29U/ka4eJff2pvnZpQpVIJBKJRCLJMKQAJ5FIJBKJRJJhSAEu/jyQ6gakmIl8/RP52mFiX/9EvnaY2Nc/ka8dJvb1p/TapQ+cRCKRSCQSSYYhNXASiUQikUgkGYYU4MaAEOIyIcS7QgivECJkBIoQ4gIhxH4hxAdCiNt9tpcKIV4SQrx//N+S5LR8/ETTdiHEbCHELp+/fiHE149/9z0hxFGf7y5K+kWMg2ifnRDiiBDi7ePXuD3W36cjUT77WiHEy0KIvcffkZt9vsvIZx/qPfb5Xggh7jn+/R4hxEnR/jbdieLarzp+zXuEEP8WQizy+S7oO5BJRHH9K4UQfT59+o5of5vuRHHtt/pc9ztCCI8QovT4dxn97IUQDwkhOoUQ74T4Pj3eeUVR5F+Mf8BcYDawBVgaYp8s4CBQD2QDu4F5x7/7KXD78f/fDtyV6muK4dpjavvx+9DOSC4bgO8B30r1dST6+oEjQPl47186/UXTdmAScNLx/xcAB3z6fcY9+3Dvsc8+FwHPAQI4DdgW7W/T+S/Kaz8DKDn+/wvVaz/+Oeg7kCl/UV7/SuCZsfw2nf9ibT+wBvjnCfTslwMnAe+E+D4t3nmpgRsDiqLsVRRlf4TdTgE+UBTlkKIoTuAx4JPHv/sk8PDx/z8MrE1IQxNDrG1fBRxUFCXRCZSTxXif3Qn97BVFaVMUZefx/9uAvcDkZDUwAYR7j1U+CfxBGeENoFgIMSnK36YzEduvKMq/FUXpPf7xDcCc5DYmkvE8vxP+2QewHvhzUlqWBBRFeQXoCbNLWrzzUoBLHJOBFp/PFj6ayKoURWmDkQkPqExy28ZDrG3/NKNf7JuOq50fyiQT4nGivX4FeFEIsUMI8aUx/D4diantQoipQAOwzWdzpj37cO9xpH2i+W06E2v7P8+IVkIl1DuQKUR7/acLIXYLIZ4TQsyP8bfpStTtF0IYgQuAJ3w2Z/qzj0RavPP6RB040xFCbAaqg3z1HUVR/h7NIYJsy4iQ33DXHuNxsoGLgf/w2fy/wP8wci/+B/gFcN3YWpoY4nT9ZyqK0iqEqAReEkLsO76qS2vi+OxNjAzoX1cUpf/45rR/9kGI5j0OtU/GjgHHibr9QoizGBHgPu6zOSPfAR+iuf6djLiHDBz36XwKmBnlb9OZWNq/BnhNURRfjVWmP/tIpMU7LwW4ECiKcs44D2EBan0+m4HW4//vEEJMUhSl7bjatXOc54or4a5dCBFL2y8EdiqK0uFzbO3/QogHgWfi0eZ4Eo/rVxSl9fi/nUKIjYyo1l9hAjx7IYSBEeHtEUVRnvQ5dto/+yCEe48j7ZMdxW/TmWiuHSHEQuC3wIWKonSr28O8A5lCxOv3WZygKMqzQoj7hRDl0fw2zYml/aOsLCfAs49EWrzz0oSaON4CZgohph3XRH0aePr4d08Dnz3+/88C0Wj00oVY2j7KL+L4xK+yDgga5ZPGRLx+IUS+EKJA/T9wHh9d5wn97IUQAvgdsFdRlF8GfJeJzz7ce6zyNHDN8ci004C+4ybmaH6bzkRsvxCiDngS+IyiKAd8tod7BzKFaK6/+nifRwhxCiNzanc0v01zomq/EKIIWIHPWHCCPPtIpMc7n6joiBP5j5HJxwIMAx3AC8e31wDP+ux3ESNReAcZMb2q28uAfwDvH/+3NNXXFMO1B217kGs3MjKQFQX8/o/A28Ce4x17UqqvKd7Xz0gE0u7jf+9OpGfPiAlNOf58dx3/uyiTn32w9xj4MvDl4/8XwP87/v3b+ESmhxoDMuUvimv/LdDr86y3H98e8h3IpL8orv+m49e3m5EgjjMmyrM//vla4LGA32X8s2dE8dAGuBiZ6z+fju+8rMQgkUgkEolEkmFIE6pEIpFIJBJJhiEFOIlEIpFIJJIMQwpwEolEIpFIJBmGFOAkEolEIpFIMgwpwEkkEolEIpFkGFKAk0gkkjEghKgVQhwWQpQe/1xy/POUVLdNIpGc+EgBTiKRSMaAoigtjJQH+8nxTT8BHlAU5cPUtUoikUwUZB44iUQiGSPHy4btAB4Cvgg0KIriTG2rJBLJREDWQpVIJJIxoiiKSwhxK/A8cJ4U3iQSSbKQJlSJRCIZHxcyUnZnQaobIpFIJg5SgJNIJJIxIoRYDJwLnAbcIoSYlNoWSSSSiYIU4CQSiWQMCCEEI0EMX1cUpRn4GfDz1LZKIpFMFKQAJ5FIJGPji0CzoigvHf98PzBHCLEihW2SSCQTBBmFKpFIJBKJRJJhSA2cRCKRSCQSSYYhBTiJRCKRSCSSDEMKcBKJRCKRSCQZhhTgJBKJRCKRSDIMKcBJJBKJRCKRZBhSgJNIJBKJRCLJMKQAJ5FIJBKJRJJhSAFOIpFIJBKJJMP4/07cG/CjL/6vAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(123)\n",
    "\n",
    "def g_kernel(x, c=0, s=0.05): \n",
    "    return np.exp((-(x-c)**2)/s)\n",
    "\n",
    "n0 = 500\n",
    "x0 = np.random.uniform(-1, 1, n0)\n",
    "y0 = np.random.normal(0.3*g_kernel(x0), 0.1, n0)\n",
    "\n",
    "n1 = 50\n",
    "x1 = np.random.uniform(-1, 1, n1)\n",
    "y1 = np.random.normal(0.3*g_kernel(x1), 0.1, n1)+1\n",
    "\n",
    "df = pd.concat([pd.DataFrame(dict(x=x0, y=y0, t=0)), pd.DataFrame(dict(x=x1, y=y1, t=1))]).sort_values(by=\"x\")\n",
    "\n",
    "m0 = LGBMRegressor(min_child_samples=25)\n",
    "m1 = LGBMRegressor(min_child_samples=25)\n",
    "\n",
    "m0.fit(x0.reshape(-1, 1), y0)\n",
    "m1.fit(x1.reshape(-1, 1), y1)\n",
    "\n",
    "m0_hat = m0.predict(df.query(\"t==0\")[[\"x\"]])\n",
    "m1_hat = m1.predict(df.query(\"t==1\")[[\"x\"]])\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 10))\n",
    "\n",
    "ax1.scatter(x0, y0, alpha=0.5, label=\"T=0\", marker=marker[0], color=color[1])\n",
    "ax1.scatter(x1, y1, alpha=0.7, label=\"T=1\", marker=marker[1], color=color[0])\n",
    "\n",
    "ax1.plot(df.query(\"t==0\")[[\"x\"]], m0_hat, color=\"black\", linestyle=\"solid\",  label=\"$\\hat{\\mu}_0$\")\n",
    "ax1.plot(df.query(\"t==1\")[[\"x\"]], m1_hat, color=\"black\", linestyle=\"--\",  label=\"$\\hat{\\mu}_1$\")\n",
    "\n",
    "ax1.set_ylabel(\"Y\")\n",
    "ax1.set_xlabel(\"X\")\n",
    "ax1.legend(fontsize=14);\n",
    "\n",
    "tau_0 = m1.predict(df.query(\"t==0\")[[\"x\"]]) - df.query(\"t==0\")[\"y\"]\n",
    "tau_1 = df.query(\"t==1\")[\"y\"] - m0.predict(df.query(\"t==1\")[[\"x\"]])\n",
    "\n",
    "ax2.scatter(df.query(\"t==0\")[[\"x\"]], tau_0, label=\"$\\hat{\\\\tau_0}$\", alpha=0.5, marker=marker[0], color=color[1])\n",
    "ax2.scatter(df.query(\"t==1\")[[\"x\"]], tau_1, label=\"$\\hat{\\\\tau_1}$\", alpha=0.7, marker=marker[1], color=color[0])\n",
    "\n",
    "ax2.plot(df[[\"x\"]], m1.predict(df[[\"x\"]]) - m0.predict(df[[\"x\"]]), label=\"$\\hat{CATE}$\",  color=\"black\")\n",
    "\n",
    "ax2.set_ylabel(\"Estimated Effect\")\n",
    "ax2.set_xlabel(\"X\")\n",
    "ax2.legend(fontsize=14)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### X-Learner\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:42.529004Z",
     "start_time": "2023-06-26T13:31:42.340193Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd7d05c3110>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "np.random.seed(1)\n",
    "\n",
    "mu_tau0 = LGBMRegressor(min_child_samples=25)\n",
    "mu_tau1 = LGBMRegressor(min_child_samples=25)\n",
    "\n",
    "mu_tau0.fit(df.query(\"t==0\")[[\"x\"]], tau_0)\n",
    "mu_tau1.fit(df.query(\"t==1\")[[\"x\"]], tau_1)\n",
    "\n",
    "mu_tau0_hat = mu_tau0.predict(df.query(\"t==0\")[[\"x\"]])\n",
    "mu_tau1_hat = mu_tau1.predict(df.query(\"t==1\")[[\"x\"]])\n",
    "\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.scatter(df.query(\"t==0\")[[\"x\"]], tau_0, label=\"$\\hat{\\\\tau_0}$\", alpha=0.5, marker=marker[0], color=color[1])\n",
    "plt.scatter(df.query(\"t==1\")[[\"x\"]], tau_1, label=\"$\\hat{\\\\tau_1}$\", alpha=0.8, marker=marker[1], color=color[0])\n",
    "plt.plot(df.query(\"t==0\")[[\"x\"]], mu_tau0_hat, color=\"black\", linestyle=\"solid\", label=\"$\\hat{\\mu}\\\\tau 0$\")\n",
    "plt.plot(df.query(\"t==1\")[[\"x\"]], mu_tau1_hat, color=\"black\", linestyle=\"dashed\", label=\"$\\hat{\\mu}\\\\tau_1$\")\n",
    "plt.ylabel(\"Estimated Effect\")\n",
    "plt.xlabel(\"X\")\n",
    "plt.legend(fontsize=14)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:42.668637Z",
     "start_time": "2023-06-26T13:31:42.530638Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd822807f50>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 4))\n",
    "\n",
    "ps_model = LogisticRegression(penalty=\"none\")\n",
    "ps_model.fit(df[[\"x\"]], df[\"t\"])\n",
    "\n",
    "ps = ps_model.predict_proba(df[[\"x\"]])[:, 1]\n",
    "\n",
    "cate = ((1-ps)*mu_tau1.predict(df[[\"x\"]]) +\n",
    "        ps*mu_tau0.predict(df[[\"x\"]]))\n",
    "\n",
    "plt.scatter(df.query(\"t==0\")[[\"x\"]], tau_0, label=\"$\\hat{\\\\tau_0}$\", alpha=0.5, s=100*(ps[df[\"t\"]==0]),   marker=marker[0], color=color[1])\n",
    "plt.scatter(df.query(\"t==1\")[[\"x\"]], tau_1, label=\"$\\hat{\\\\tau_1}$\", alpha=0.5, s=100*(1-ps[df[\"t\"]==1]), marker=marker[1], color=color[0])\n",
    "\n",
    "plt.plot(df[[\"x\"]], cate, label=\"x-learner\", color=\"black\")\n",
    "plt.ylabel(\"Estimated Effect\")\n",
    "plt.xlabel(\"X\")\n",
    "plt.legend(fontsize=14)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:44.658452Z",
     "start_time": "2023-06-26T13:31:42.670234Z"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "from lightgbm import LGBMRegressor\n",
    "\n",
    "# propensity score model\n",
    "ps_model = LogisticRegression(penalty='none')\n",
    "ps_model.fit(train[X], train[T])\n",
    "\n",
    "\n",
    "# first stage models\n",
    "train_t0 = train.query(f\"{T}==0\")\n",
    "train_t1 = train.query(f\"{T}==1\")\n",
    "\n",
    "m0 = LGBMRegressor()\n",
    "m1 = LGBMRegressor()\n",
    "\n",
    "np.random.seed(123)\n",
    "\n",
    "m0.fit(train_t0[X], train_t0[y],\n",
    "       sample_weight=1/ps_model.predict_proba(train_t0[X])[:, 0])\n",
    "\n",
    "m1.fit(train_t1[X], train_t1[y],\n",
    "       sample_weight=1/ps_model.predict_proba(train_t1[X])[:, 1]);\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:46.457530Z",
     "start_time": "2023-06-26T13:31:44.660028Z"
    }
   },
   "outputs": [],
   "source": [
    "# second stage\n",
    "tau_hat_0 = m1.predict(train_t0[X]) - train_t0[y]\n",
    "tau_hat_1 = train_t1[y] - m0.predict(train_t1[X])\n",
    "\n",
    "m_tau_0 = LGBMRegressor()\n",
    "m_tau_1 = LGBMRegressor()\n",
    "\n",
    "np.random.seed(123)\n",
    "\n",
    "m_tau_0.fit(train_t0[X], tau_hat_0)\n",
    "m_tau_1.fit(train_t1[X], tau_hat_1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:46.489440Z",
     "start_time": "2023-06-26T13:31:46.459210Z"
    }
   },
   "outputs": [],
   "source": [
    "# estimate the CATE\n",
    "ps_test = ps_model.predict_proba(test[X])[:, 1]\n",
    "\n",
    "x_cate_test = test.assign(\n",
    "    cate=(ps_test*m_tau_0.predict(test[X]) +\n",
    "          (1-ps_test)*m_tau_1.predict(test[X])\n",
    "         )\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:46.664716Z",
     "start_time": "2023-06-26T13:31:46.490725Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'X-Learner')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gain_curve_test = relative_cumulative_gain_curve(x_cate_test, T, y, prediction=\"cate\")\n",
    "auc = area_under_the_relative_cumulative_gain_curve(x_cate_test, T, y, prediction=\"cate\")\n",
    "\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.plot(gain_curve_test, color=\"C0\", label=f\"AUC: {auc:.2f}\")\n",
    "plt.hlines(0, 0, 100, linestyle=\"--\", color=\"black\", label=\"Baseline\")\n",
    "\n",
    "plt.legend();\n",
    "plt.title(\"X-Learner\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Meta-Learners for Continuous Treatments\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:46.681045Z",
     "start_time": "2023-06-26T13:31:46.666173Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>rest_id</th>\n",
       "      <th>day</th>\n",
       "      <th>month</th>\n",
       "      <th>weekday</th>\n",
       "      <th>...</th>\n",
       "      <th>is_nov</th>\n",
       "      <th>competitors_price</th>\n",
       "      <th>discounts</th>\n",
       "      <th>sales</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>2016-01-01</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>2.88</td>\n",
       "      <td>0</td>\n",
       "      <td>79.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>2016-01-02</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>2.64</td>\n",
       "      <td>0</td>\n",
       "      <td>57.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>2016-01-03</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>2.08</td>\n",
       "      <td>5</td>\n",
       "      <td>294.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>2016-01-04</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>3.37</td>\n",
       "      <td>15</td>\n",
       "      <td>676.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>2016-01-05</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>3.79</td>\n",
       "      <td>0</td>\n",
       "      <td>66.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 11 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   rest_id         day  month  weekday  ...  is_nov  competitors_price  \\\n",
       "0        0  2016-01-01      1        4  ...   False               2.88   \n",
       "1        0  2016-01-02      1        5  ...   False               2.64   \n",
       "2        0  2016-01-03      1        6  ...   False               2.08   \n",
       "3        0  2016-01-04      1        0  ...   False               3.37   \n",
       "4        0  2016-01-05      1        1  ...   False               3.79   \n",
       "\n",
       "   discounts  sales  \n",
       "0          0   79.0  \n",
       "1          0   57.0  \n",
       "2          5  294.0  \n",
       "3         15  676.5  \n",
       "4          0   66.0  \n",
       "\n",
       "[5 rows x 11 columns]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_cont = pd.read_csv(\"./data/discount_data.csv\")\n",
    "data_cont.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:46.688492Z",
     "start_time": "2023-06-26T13:31:46.682911Z"
    }
   },
   "outputs": [],
   "source": [
    "train = data_cont.query(\"day<'2018-01-01'\")\n",
    "test = data_cont.query(\"day>='2018-01-01'\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### S-Learner\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:46.882359Z",
     "start_time": "2023-06-26T13:31:46.689828Z"
    }
   },
   "outputs": [],
   "source": [
    "X = [\"month\", \"weekday\", \"is_holiday\", \"competitors_price\"]\n",
    "T = \"discounts\"\n",
    "y = \"sales\"\n",
    "\n",
    "np.random.seed(123)\n",
    "s_learner = LGBMRegressor()\n",
    "s_learner.fit(train[X+[T]], train[y]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:46.920832Z",
     "start_time": "2023-06-26T13:31:46.883985Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>rest_id</th>\n",
       "      <th>day</th>\n",
       "      <th>month</th>\n",
       "      <th>weekday</th>\n",
       "      <th>...</th>\n",
       "      <th>sales</th>\n",
       "      <th>key</th>\n",
       "      <th>discounts</th>\n",
       "      <th>sales_hat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>2018-01-01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>251.5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>67.957972</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>2018-01-01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>251.5</td>\n",
       "      <td>1</td>\n",
       "      <td>10</td>\n",
       "      <td>444.245941</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>2018-01-01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>251.5</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>793.045769</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>2018-01-01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>251.5</td>\n",
       "      <td>1</td>\n",
       "      <td>30</td>\n",
       "      <td>1279.640793</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>2018-01-01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>251.5</td>\n",
       "      <td>1</td>\n",
       "      <td>40</td>\n",
       "      <td>1512.630767</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>2018-01-02</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>541.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>65.672080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>2018-01-02</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>541.0</td>\n",
       "      <td>1</td>\n",
       "      <td>10</td>\n",
       "      <td>495.669220</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>2018-01-02</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>541.0</td>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>1015.401471</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>8 rows × 13 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   rest_id         day  month  weekday  ...  sales  key  discounts  \\\n",
       "0        0  2018-01-01      1        0  ...  251.5    1          0   \n",
       "1        0  2018-01-01      1        0  ...  251.5    1         10   \n",
       "2        0  2018-01-01      1        0  ...  251.5    1         20   \n",
       "3        0  2018-01-01      1        0  ...  251.5    1         30   \n",
       "4        0  2018-01-01      1        0  ...  251.5    1         40   \n",
       "5        0  2018-01-02      1        1  ...  541.0    1          0   \n",
       "6        0  2018-01-02      1        1  ...  541.0    1         10   \n",
       "7        0  2018-01-02      1        1  ...  541.0    1         20   \n",
       "\n",
       "     sales_hat  \n",
       "0    67.957972  \n",
       "1   444.245941  \n",
       "2   793.045769  \n",
       "3  1279.640793  \n",
       "4  1512.630767  \n",
       "5    65.672080  \n",
       "6   495.669220  \n",
       "7  1015.401471  \n",
       "\n",
       "[8 rows x 13 columns]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_grid = pd.DataFrame(dict(key=1,\n",
    "                           discounts=np.array([0, 10, 20, 30, 40])))\n",
    "\n",
    "test_cf = (test\n",
    "           .drop(columns=[\"discounts\"])\n",
    "           .assign(key=1)\n",
    "           .merge(t_grid)\n",
    "           # make predictions after expansion\n",
    "           .assign(sales_hat = lambda d: s_learner.predict(d[X+[T]])))\n",
    "\n",
    "test_cf.head(8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:47.039307Z",
     "start_time": "2023-06-26T13:31:46.922656Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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wtkOHDlSuXBljY+PXFa8o/ymtp+7wBuyBfJqm+QHfA67AKk3TBgIPgK4AInJZ07RVwBUgERgmIknJRX3O/0/dsS15UxRFUZQ0ExQUxOLFi3F3d8fX15eAgAAqV67M+PHjqVOnDpqmUaBAAVauXGnoUJWPXJomayLS8xUfNXvF8VOAKSnsPwVUTsXQFEVRFOWVduzYgZOTE/Hx8TRo0ICJEyeSLVs2/XrNipKe1JTGiqIoSqYXHh7Ob7/9Rv369YmJicHOzo4hQ4Zw8eJFDh8+jIuLy7/WaFaU9KKStXTm6+uLg4MDFSpUoFKlSsyePRuAkJAQWrRogY2NDS1atCA0NBSA4OBgHBwcyJEjB1988cVLZXl7e2Nra0uVKlVwdHTUL+L7T6dPn8bW1pYyZcowYsSIl5aPWrVqFRUrVqRSpUr06tUrxfPj4uLo3r07ZcqUwc7Ojnv37uk/c3R0xMLCgnbtUpxJRVEUJcMSEQ4fPkxCQgIxMTGMHTsWESEgIAALCwtmz55N5cqqUUcxPJWspTMTExNmzJjB1atX8fHxwc3NjStXruDq6kqzZs24efMmzZo1w9XVFUBf5f7rr7++VE5iYiIjR45k3759XLhwgSpVqvDnn3+meM3PP/8cd3d3bt68yc2bN/WzZN+8eZNp06Zx5MgRLl++zKxZs1I838PDgzx58nDr1i1GjRrF2LFj9Z+NGTOGpUuXpsI3oyiKkj5CQ0P1iVijRo3YtGkTBQsW5Pbt2xw7dky/jJ+iZBQqWUtnVlZW1KhRA3i2VEiFChXw9/dn48aN9O37bJBs37592bBhAwDm5uY0bNjwX9Xvz2c1joqKQkQIDw9Pcc3PwMBAwsPDqVevHpqm4eLioi97/vz5DBs2jDx58gC8cj3SF2Pr0qULe/bs0dfONWvWjJw5c77fl6IoipLGnv/MDA4OpkiRInz55ZfkyJEDDw8PWrVqBUDRokX/oxRFMYyMNCmuQQwePDjF/e7u7gDMmDGD69ev/+vzr776inLlyrFp0yY2bdr0r/PexL179zh79ix2dnY8evQIKysr4FlC9/jx49eea2pqyty5c7G1tcXc3BwbGxvc3Nz+dZy/vz/W1v8/TZ21tTX+/v4A3LhxA4AGDRqQlJTEpEmT9AsE/7OM5z/ETExMyJ07N8HBwWpNOkVRMjwR4c8//8Td3Z0//vgDe3t7pk2bRpMmTahWrZqhw1OUN6Jq1gwkMjKSzp07M2vWLHLlyvXW5yckJDB37lzOnj1LQEAAVapUYdq0af86LqXlxJ7Pmp2YmMjNmzfZv38/3t7eDBo0iKdPn75VGYqiKBmNiODj48ONGzfQNA1vb2/MzMzQ6XQAjBw5UiVqygcl09es/VdN2FdfffXaz9u3b0/79u3f6poJCQl07tyZ3r174+zsDEDBggUJDAzEysqKwMDAVzZJPnfu3DkAfd+Kbt264erqSlJSEjVr1gTAycmJzz//HD8/P/15fn5++uZSa2tr6tati6mpKSVLlqRcuXLcvHmTDRs2sGXLFv11rK2t8fX1xdramsTERMLCwrC0tHyre1YURUlrYWFhLF++nL/++osLFy7w2WefMW/ePLZv3/5OfxQrmcPzrkQhISGv3KKiopg3b57BYsz0yVp6ExEGDhxIhQoVGD16tH6/k5MTS5YsYdy4cSxZsoQOHTq8tpwiRYpw5coVnjx5Qv78+dm1axcVKlTA2NhYn8g9lzNnTnx8fLCzs8PT01O/5EnHjh3x9vamX79+BAUFcePGDUqVKsWUKVOYMuX/p7t7Hlu9evVYs2YNTZs2VTVriqJkCCJCQkICWbJkoVmzZpw+fZoaNWrw119/0bPns6k+VaKWOSQlJfH06dPXJl0pbaGhoSQlJb2yXHNzcywtLUlMTMTExDBpk0rW0tmRI0dYunQptra2+mr4qVOnMm7cOLp164aHhwfFihVj9erV+nNKlChBeHi4fkHgnTt3UrFiRb7//nsaN26MqakpxYsXZ/HixSlec+7cufTr14+YmBhat25N69atAWjVqpW+LGNjY3755Rfy5s37r/MHDhxInz59KFOmDJaWlqxYsUL/WaNGjbh27RqRkZFYW1u/1FlXURQlLa1cuRJXV1eaN2/OL7/8gqurKxYWFtSqVcvQoSnvIT4+ntDQ0LdOulLqxvOi3LlzY2lpqd+KFy/+0vuUtjx58pA1a9b0ufHX0FLqj/SxqFWrlpw6deqlfVevXtUvqqukH/W9K4qSGk6dOkVgYCDt27dnypQprF69mq+++oo+ffoYOjTlH2JiYt464QoJCSEyMvKVZRoZGZEnT57/TLL+uVlYWBisVuxtaJp2WkT+9deGStaUdKG+d0VR3lVERATe3t789ddfnDlzhrJly3Lt2jV9s5TqlpF2RITIyMh3SrpiY2NfWa6pqelbJ1yWlpbkypULI6OPd2zkq5K1jJ9mKoqiKJnS06dPsbCw4Mcff+SXX37B1taWP//8k08++QRN0zA1NTV0iB8MnU5HWFjYOyVdiYmJryw3W7ZsLyVTNjY2b5R0mZubZ/gkOz4+Hh8fH/bv389nn31GwYIFDRaLStYURVGUDOXw4cOMHj2ayMhILl++zBdffEGnTp2oW7duhv8Fn9YSEhL+1Z/rTfp3hYaGpjgN03M5c+Z8KZmytbV9o/5c2bJlS8e7T1uxsbEcP36cuLg4WrZsiZ+fH02aNEHTNGrVqkWbNm0MFptK1hRFURSDO3/+PFu3bmX8+PGYm5sTHR3N559/TlJSEsWKFaNYsWKGDjFVxcbGvlMtV0RExCvL1DQNCwuLlxKq0qVLv1HSlRlrKePi4jh27Bj79+9n//79+Pj4EBcXR61atWjZsiUlS5Zky5Yt1KtXT7/Sj6GoZE1RFEUxiKioKFatWsVff/3F8ePHyZo1K5988gnVq1fn4sWLGb4W7fmSf++SdMXExLyyXBMTk5c60RcuXJjKlSv/Z9KVO3dujI2N0/Eb+LDExMTg4+NDQkICLVu2xNfXFwcHB4yMjKhevTpffPEF9vb2NGzYEHiW/BqyNu1FKllTFEVR0tW9e/coUaIEx48fZ8CAAZQvX57ffvsNFxcX/YTbGSlRi42NZdWqVaxfv54nT568lHQlJCS88rysWbOSN2/el2q5ateu/Z9JV44cOTLU/X+o4uLiOHr06Es1Z/Hx8dSpU4eWLVtSunRptm7dSr169bCwsDB0uK+lkrV05uvri4uLCw8fPsTIyIjBgwczcuRIQkJC6N69u/6H2KpVq8iTJw/BwcF06dKFkydP0q9fP/788099Wd7e3kydOhVN0yhcuDDLli1Lcb3O06dP6+dZa9OmDbNnz9b/IFi1ahWTJk1C0zSqVq2Kl5fXv84/ePAgX375JRcuXGDFihV06dJF/9k333zDli1b0Ol0tGjR4qWyFUVRXuTv70/Xrl3x8fHh1q1bODg4cOTIEerVq5chf27cu3ePefPm4eHhQVBQECVKlKBUqVJUqlTpjTrRf0z9uT4EMTExHDt2jMTERFq2bMmDBw9o2rQpRkZG1KhRgxEjRvyr5uz5vKMZnoh8tFvNmjXln65cufKvfekpICBATp8+LSIi4eHhYmNjI5cvX5YxY8bItGnTRERk2rRp8s0334iISGRkpBw6dEjmzp0rw4YN05eTkJAg+fPnlydPnoiIyJgxY+T7779P8Zq1a9eWo0ePik6nE0dHR9m6dauIiNy4cUOqVasmISEhIiLy6NGjFM+/e/eunD9/Xvr06SOrV6/W7z9y5IjUr19fEhMTJTExUerWrSv79u1LsQxDf++KohjGpUuXZMSIEeLv7y8JCQnStGlTmTFjhoSGhho6tBQlJSXJtm3bpF27dqJpmhgZGUmnTp1k9+7dotPpDB2e8oKYmBjZvXu3fPfdd9KoUSPJkiWLAGJnZyciIjqdTrZt2yZPnz41cKRvDjglKeQzqmYtnVlZWWFlZQU8G31ToUIF/P392bhxI/v37wegb9++2NvbM336dMzNzWnYsCG3bt16qZznDzAqKoq8efMSHh5OmTJl/nW9wMBAwsPDqVevHgAuLi5s2LCB1q1bM3/+fIYNG6bvOPmq9UhLlCgB8K+5bTRNIzY2lvj4eP2SL4Yc2qwoSsYQHx/PypUr+euvvzhy5AimpqY0adIEZ2dn9uzZY+jwUhQSEsKiRYuYO3cut2/fpkCBAkyYMIHPPvuMokWLGjo8BYiOjubYsWMkJSXpa86aN2+OkZERNWvWZOTIkf+qOXN0dDRw1Knj451Z7g0NHjyYTZs2perrN3Xv3j3Onj2LnZ0djx490idxVlZWPH78+LXnmpqaMnfuXGxtbSlcuDBXrlxh4MCB/zrO398fa2tr/Xtra2v8/f0BuHHjBjdu3KBBgwbUrVuX7du3v1X89erVw8HBQZ+AtmrVSk18qyiZ2NWrVwkPDycpKYkRI0bw+PFjfvnlF/z9/XF2djZ0eCk6c+YMAwcOpEiRInz99dcUKlQILy8vfH19+emnn1SiZkCxsbHs3r2biRMn0rBhQywsLGjevDnff/89ADY2Nmzfvp3Q0FBOnDjBzz//TJs2bT7KtWBVzZqBREZG0rlzZ2bNmvVO/2ElJCQwd+5czp49S6lSpRg+fDjTpk1j4sSJLx0nKcyr87xvSGJiIjdv3mT//v34+fnRqFEjLl269MYdLW/dusXVq1fx8/MDoEWLFhw8eJDGjRu/9f0oivLhEhHatm3Ltm3bcHNzY+jQoZw8eZLSpUtnyL5osbGxrF69mjlz5uDj40P27Nnp06cPQ4cO1a/ZrKS/qKgofc1Zq1atuH//Pi1atMDY2JhatWoxevRo7O3tadCgAfDsd1lmWYs60ydr7u7uqf76vyQkJNC5c2d69+6t/2uzYMGCBAYGYmVlRWBg4CubJJ87d+4cAKVLlwagW7duuLq6kpSURM2aNQFwcnLi888/1ydTAH5+fhQuXBh4VstWt25dTE1NKVmyJOXKlePmzZts2LCBLVu2vHSdlKxfv566deuSI0cOAFq3bo2Pj49K1hQlE7h+/Tru7u7UrVuXrl27UqdOHZo0aaIfgJRStwxDu3//PvPmzWPBggUEBQVRtmxZZs2aRd++fTP8aMCPUUxMDIcPH9aP1jxx4gSJiYnUq1ePVq1aUbZsWXbs2EG9evXImTOnocM1qEzfDJreRISBAwdSoUIFRo8erd/v5OTEkiVLAFiyZAkdOnR4bTlFihThypUrPHnyBIBdu3ZRoUIFjI2NOXfuHOfOnWPy5MlYWVmRM2dOfHx8EBE8PT31ZXfs2JF9+/YBEBQUxI0bNyhVqhRTpkzRl/E6xYoV48CBAyQmJpKQkMCBAwdUM6iifOTWrFmDg4MD5cuX5/fff+fSpUsATJo0ibFjx/7nH5rpTafTsWPHDpycnChVqhQ///wzDRo0YOfOnVy9epWRI0eqRC2dREZGsnPnTnbu3Ak8S55btmzJ9OnT0el0fP3112zfvp0dO3YAz2rOWrZsmekTNUCNBk1vhw4dEkBsbW2latWqUrVqVdmyZYsEBQVJ06ZNpUyZMtK0aVMJDg7Wn1O8eHHJkyePmJubS5EiReTy5csiIjJ37lwpX7682NraSrt27SQoKCjFa548eVIqVaokpUqVkmHDhulHNOl0Ohk1apRUqFBBKleuLN7e3imef+LECSlSpIhkz55dLC0tpWLFiiIikpiYKIMHD5by5ctLhQoVZNSoUa+8b0N/74qivLsbN27IxYsXRUTE2dlZSpYsKVOnTpXAwEADR/ZqISEhMnPmTLGxsRFA8ufPLxMmTJD79+8bOrRMIzo6WrZv3y7jx4+XevXqiYmJiQDSoEEDEXn2O2jnzp0SERFh4EgzDl4xGlSTFPo0fSxq1aolp06demnf1atXVe2PAajvXVE+TBMmTGDatGm0a9eOTZs2ERISgoWFxb9Gh2cUZ8+exc3NDS8vL2JiYqhfvz5Dhw6lS5cuZM2a1dDhfdQiIyM5cuQIAK1ateLq1atUrFgRExMTateujb29Pfb29tSvX1/ffUZ5maZpp0Wk1j/3Z/o+a4qiKMr/u337Nu7u7kRGRuLm5oaDgwPm5uYMGDAAQL/CQEYSFxfHmjVrcHNz49ixY2TLlo3evXszdOhQqlevbujwPloxMTEcOHBA3+fs1KlTJCUl0bBhQ1q1akX58uXZtWvXS32blXejkjVFURSFffv2MXXqVHbv3o2xsTHOzs6ICC1atKBFixaGDi9FDx484K+//mL+/Pk8efKEMmXKMHPmTPr162fwhbc/RhERERw5ckQ/CvPu3bu0bt0aExMT7OzsGDduHPb29vp5PTVNo3nz5gaO+uNgsGRN07RRwCBAgItAfyA7sBIoAdwDuolIaPLx44GBQBIwQkR2pH/UiqIoH4+7d+9y/vx5OnbsyJ07d7hx4waTJ09mwIABFClSxNDhpUin07Fnzx7c3Nz0c1u2a9eOYcOG6SdIVVJHdHT0SzVnp0+fJikpiUaNGunn1dy9ezd169bF3Nzc0OF+1AzSZ03TtCLAYaCiiMRomrYK2ApUBEJExFXTtHFAHhEZq2laRcAbqAMUBnYDZUUk6XXXUX3WMg71vStKxiAiaJrG+vXr6dy5M7ly5eLRo0cYGRlhZGSEsbGxoUNM0dOnT1m8eDFz587lxo0b5MuXj0GDBjFkyBCKFy9u6PA+CuHh4Rw+fBhjY2NatWrF5cuXqVy5MqamptjZ2en7nNWrV4/s2bMbOtyPUkbss2YCZNM0LYFnNWoBwHjAPvnzJcB+YCzQAVghInHAXU3TbvEscTuWzjEriqJ8kO7fv8/8+fPZuHEjJ0+exN7enu+//54BAwZk6I7358+fx83NjeXLlxMdHU3dunVZunQpXbt2zdBxfwiioqLYv3+/vvbs9OnT6HQ6GjduTKtWrahYsSJ79uyhbt26KjkzMIMkayLir2nar8ADIAbYKSI7NU0rKCKByccEapr2fMKeIoDPC0X4Je9TFEVRXuPq1at89dVXbN++HU3TaN26NUFBQVhbW+uX7clo4uPjWbNmDXPmzOHIkSOYmZnRq1cvhg0bRo0aNQwd3gcrLCyMw4cPY2Jiou9z1q5dO7JkyYKdnR3ffvst9vb21K1bF3jW56xp06YGjloBA02Kq2laHp7VlpXkWbOmuaZpn7zulBT2pdh+q2naYE3TTmmadur5hLEZia+vLw4ODlSoUIFKlSoxe/Zs4Nkiwi1atMDGxoYWLVoQGhoKQHBwMA4ODuTIkYMvvvjipbK8vb2xtbWlSpUqODo6EhQUlOI1v/32W4oWLfqv0TgzZ86kYsWKVKlShWbNmnH//v0Uz3/dccbGxlSrVo1q1arh5OT0zt+Loiip58GDB0yfPp2kpCRy5szJ5cuX+e6777h79y6bN29+ab3gjMTX15eJEydStGhRevfuzcOHD5kxYwb+/v54eHioRO0tRUVFsXnzZr7++mtq1aqFpaUl7dq1w9XVFYCKFSuyd+9eQkNDOXjwIJMnT6Zp06aqFi0jSmnytbTegK6AxwvvXYA5wHXAKnmfFXA9+fV4YPwLx+8A6v3XdTLipLgBAQFy+vRpEREJDw8XGxsbuXz5sowZM0amTZsmIiLTpk2Tb775RkREIiMj5dChQzJ37lwZNmyYvpyEhATJnz+/PHnyRERExowZI99//32K1zx27JgEBASIubn5S/v37t0rUVFRIiIyZ84c6datW4rnv+64f5b5Kob+3hXlY5eYmCg6nU4CAgLE2NhYNE0THx8fERFJSkoycHSvptPpZNeuXdKpUycxMjISTdOkXbt2sm3btgwdd0YUGhoqf//9t2zbtk1ERC5cuCCAZMmSRZo0aSLff/+97Nu3T6Kjow0cqfIqvGJSXEP1WXsA1NU0LTvPmkGbAaeAKKAv4Jr878bk4/8GvDRNm8mzmjgb4ER6B50arKyssLKyAiBnzpxUqFABf39/Nm7cyP79+wHo27cv9vb2TJ8+HXNzcxo2bMitW7deKuf5A4yKiiJv3ryEh4e/ci2+51Xa/+Tg4PDSMcuWLXuv4xRFSX9+fn54eHiwYMECli1bRpMmTZg3bx7NmzenRIkSABlyhGRYWBhLlixhzpw5XL9+nbx58zJmzBiGDBmij1t5vaioKPbu3asfrXn27FlEhKZNm+Lo6EilSpXYt28fdnZ2ZMuWzdDhKu/BUH3WjmuatgY4AyQCZwF3IAewStO0gTxL6LomH385ecToleTjh8l/jAR9U4MHD37pffv27Wnfvj2LFy/m6NGj1K9fn379+rFp0yb9MPHn3N3dCQoKYsKECQBMnTqVfPnyvfG17927x9mzZ7Gzs+PRo0f6JM7KyorHjx+/9lxTU1Pmzp2Lra0t5ubm2NjY4Obm9sbX/icPDw9at2791sfFxsZSq1YtTExMGDduHB07dnznGBRFeXNRUVH07NmTLVu2ICK0bNkSMzMzAAYNGmTg6F7twoULuLm5sWzZMqKjo7Gzs2PJkiV069ZNH7+SstDQUA4dOkSWLFlwdHTk9u3bODk5kTVrVurVq8f333+Pvb09dnZ2wLMk3d7e3rBBK6nCYKNBReR74J+9W+N4VsuW0vFTgClpHVd6iYyMpHPnzsyaNYtcuXK99fkJCQnMnTuXs2fPUqpUKYYPH860adOYOHHiW5e1bNkyTp06xYEDB976uAcPHlC4cGHu3LlD06ZNsbW1pXTp0m8dg6Io/y0gIAAPDw+cnZ2pVKkSSUlJjB07lk8//ZSSJUsaOrxXio+PZ926dbi5uXH48GHMzMzo2bMnw4YNo2bNmoYOL8OKjIx8qebs3LlzL9WcVa5cmf3792NnZ6cS3Y9dSm2jH8uWEfusiYjEx8dLy5YtZcaMGfp9ZcuWlYCAABF51q+tbNmyL52zaNGil/qsnThxQpo2bap/f+DAAWndurUkJibqF4j/7rvvXiojpf5lu3btkvLly8ujR4/0+yZMmKAv43XH/VPfvn1l9erVKX6WEb53RfkQJSUlSWRkpIiIVK5cWQCZPXu2gaN6M76+vjJx4kQpWLCgAFKqVCn55ZdfJCgoyNChZUjBwcGyfv16fZ+zc+fOCSBmZmbi4OAgP/zwgxw4cEBiYmIMHKmSVnhFnzWDJ1RpuWXEZE2n00mfPn1k5MiRL+3/+uuvXxpgMGbMmJc+/2ey5u/vL4UKFZLHjx+LiMjEiRNl9OjRr732P5O1M2fOSKlSpeTGjRuvPe9Vx4WEhEhsbKyIiDx58kTKlCkjly9fTrEMQ3/vivKhCQgIkJ9++kmKFy+u/3lw8OBBuXXrloEjez2dTid79uwRZ2dn/UCHtm3bytatW9WAgX8IDw+X9evXy8iRI6Vq1aqiaZoA0rx5cxF5lqir5CxzUclaMkMnDYcOHRJAbG1t9bVXW7ZskaCgIGnatKmUKVNGmjZtKsHBwfpzihcvLnny5BFzc3MpUqSIPiGaO3eulC9fXmxtbaVdu3av/Gt1zJgxUqRIEdE0TYoUKaIfNdqsWTMpUKCAPo727duneP6rjjty5IhUrlxZqlSpIpUrV5YFCxa88r4N/b0ryodk2LBhYmJiIoA0bdpU/v77b0OH9J/CwsLk999/l/LlywsglpaWMmbMGLl9+7ahQ8swgoKCZN26dfqas7Nnz+przpo1ayaTJ0+WgwcP6v8IVjKfVyVrBlluKr2o5aYyDvW9K8qrPXr0iIULF5I/f34GDRrEzJkzefjwIZ9++ik2NjaGDu+1Ll26hJubG0uXLiUqKoratWszbNgwunXrlulHIEZERLB79259n7MLFy4A0LJlS3bs2IFOp+Po0aPUrl1brcagABlzuSlFUZRMS6fT8fDhQwoXLszPP//MzJkz6du3L4MGDWL06NGGDu+14uPjWb9+PXPmzOHgwYNkzZqVHj16MGzYMGrXrm3o8AwmKCiIgwcPkj17dhwdHbl16xbOzs5ky5aNBg0a8NNPP2Fvb6//joyMjGjYsKGBo1Y+BCpZUxRFSUePHz9m8eLFuLu7Y2ZmxsWLFxk9ejSDBw+mXLlyhg7vtfz9/XF3d8fd3Z2HDx9SsmRJfv75ZwYMGEDevHkNHV66Cw8Pf6nm7OLFiwC0atUKR0dHqlSpwuHDh6lduzZZsmQxcLTKhyxTJmsigqaltIKVkhY+5qZ2RXkbc+fOZeTIkSQkJNC4cWM+++wzRIQiRTLuUsciwv79+5kzZw7r169Hp9Ph6OjIsGHDcHR0xNjY2NAhppsnT55w8OBBzM3N9TVnnTt3Jnv27DRo0IAePXpgb29PrVrPWrGMjY1p0KCBgaNWPgaZLlkzMzMjODiYvHnzqoQtHYgIwcHBag4gJVMKDg5m0aJFXLx4kSVLllCrVi2GDRvG4MGDM3wfzvDwcJYuXcqcOXO4cuUKlpaWjBo1iiFDhmSauRR1Oh2nTp1iy5YtbNmyhdOnTwPg6OiIo6MjVatW5ciRI9SqVUvVnClpKtMNMEhISMDPz4/Y2FgDRZX5mJmZYW1tjampqaFDUZQ0JyJcuHCBqlWrsmfPHpo3b07Dhg3ZsWPHB7FA9uXLl/UDBiIjI6lZsybDhg2jR48emWLAQFhYGI8fP8bGxoZTp05Ru3ZtjIyMqFu3Lm3atKFp06bUqlVL/TxT0oQaYJDM1NQ0Q8/0rSjKhyk4OJglS5bg7u7OjRs3uH37Ng4ODly5ciXD16IlJCSwYcMG3NzcOHDgAFmzZqV79+4MGzaMOnXqGDq8NCUiXLt2TV97dvjwYRo1asTevXupUaMG3t7etGjRIlP2yVMyjkyXrCmKoqS248eP06RJE+Li4qhXrx6LFi2iUKFCGBkZZehELSAgQD9gIDAwkOLFi+Pq6srAgQPfap3jD83zfssPHjzA3t6eu3fvAlC5cmW++uor2rdvDzwbrdmjRw9DhqoogErWFEVR3lp0dDTu7u4sXryYXbt2Ub16dYYPH46Liwu2traGDu+1RISDBw/i5ubG+vXrSUxMxNHREXd3d1q3bv3RDhjw8/PT155pmsbGjRspUqQIdnZ2jBkzhrZt21KsWDFDh6koKVLJmqIoyhu6dOkSpUqVAuCHH36gXLlyPHz4kPz58/PLL78YOLrXi4iI0A8YuHz5MhYWFowYMYLPP/+cMmXKGDq8NBEZGcm0adPYvHmzfkLa4sWL06lTJ0QEY2NjvL29DRylklHdu3ePX3/9leHDhxt8Wh2jNz1Q07Slb7JPURTlY3P8+HE6duyIra0tCxYsIHv27Fy9ehUfH58MX5N25coVvvjiC4oUKcKwYcPImjUrHh4e+Pv7M2PGjI8qUQsJCcHb25vp06cDkC1bNjw8PLCwsGD69OlcunSJu3fv8ttvv6nZAJSXhIWFERwcjK+vL9WqVWPt2rVomsbixYu5cuWKocN7q5q1Si++0TTNGKiZuuEoiqJkHDqdjnbt2rFt2zYsLS354Ycf+OSTTwAoVKiQgaN7tYSEBDZu3Iibmxv79+8nS5YsdO/enaFDh2JnZ/fRJCoiwqVLl/TNm0ePHkWn02Ftbc1XX32FiYkJ9+/fV0s5Kf+i0+nYtWsXFhYWVKxYkfz58zNx4kQmTJhAkSJFyJ49O8WLFyc0NDRDjPz9z6k7NE0bD0wAsgHRz3cD8YC7iIxP0wjfQ0pTdyiKoryOTqdj8+bN5MyZEwcHByZOnEiePHn47LPPyJEjh6HDe63AwEDmz5/PX3/9RUBAAMWKFePzzz9n4MCB5M+f39DhpYro6GguXryInZ0diYmJ5M+fn6dPn1K9enXatm1L27ZtqV279kfb9055N88HlUyZMgULCwuGDh1KkSJFcHBwYPny5bi5uVG/fn2qV69u0DhfNXXHG8+zpmnatIycmKVEJWuKoryt4cOH8+eff9KpUyfWrVtn6HD+k4hw6NAh5syZw9q1a0lMTKRly5YMGzaMtm3bfhRJy7179/S1Z/v27QOeTZWSPXt29u7dS/ny5SlcuLCBo1Qykvj4eHx9fSldujSDBg0iJCSEdevW0bJlSwoVKoSnpycXL16kVKlSmJubGzpcvfeeZ01ExmualgewAcxe2H8wdUJUFEVJf3FxcXh6enLu3Dnc3Nzo378/derUoWfPnoYO7bUiIyNZtmwZc+bM4eLFi1hYWDB8+HA+//xzbGxsDB3ee9HpdBgZGSEiNGzYkKNHjwJQpkwZPvvsM9q2batvmmratKkhQ1UykMuXL3Pq1Cn69u1Lnz59OHHiBHfv3qVcuXJEREQAsG3bNv0fMBm9v+mL3qZmbRAwErAGzgF1gWMikmH/T1E1a4qivEpUVBTz58/n119/xd/fn9q1a7N///4Mv8rA1atXmTt3LkuWLCE8PJxq1aoxbNgwevXqleFjf50nT56wbds2/cS0t27dIlu2bPz000+Ym5vTtm1bypYta+gwlQzieUK/a9cuFixYgLe3N9999x0///wzT58+5fTp0wQFBdGxY0eMjN54LKXBvapmDRF5ow24yLMatXPJ78sDK9/0fENsNWvWFEVRlBfFxcWJiMiaNWsEEHt7e9m5c6fodDoDR/ZqCQkJsnbtWmnatKkAkiVLFundu7ccPXo0Q8f9JmbOnCl2dnaiaZoAUrBgQenfv788fPjQ0KEpGYhOp5NLly5JbGysrF+/XiwtLcXf31+WLl0qNjY24ufnJ4GBgR/8fzfAKUkhn3mb0aCxIhKraRqapmUVkWuaphl24hFFUZQ3FB4eztSpU/Hw8OD8+fN07NgRHx8f7OzsDB3aKz18+FA/YMDf35+iRYsyZcoUBg0aRIECBQwd3luLiIhg9+7d7Nixg1mzZmFmZsaRI0fQ6XR8//33tG3blho1anxQNSFK2gkJCWH16tW0bt2aS5cu0bZtW/bt20fp0qXp0KEDcXFx9O7dWz9C+2P2Ns2g64H+wJdAUyAUMBWRNmkW3XtSzaCKoty/f5+8efNibGxM6dKlady4Ma6urpQoUcLQoaVIRDhy5Ahubm6sXbuWhIQEWrRooR8wYGLyYc1lfuvWLTZv3syWLVs4ePAg8fHx5MqViwMHDlCtWjUSExM/uHtS0kZiYiKhoaGMHj2aPn36UKpUKWxsbFiwYAFdu3ZlzZo1tG/f/qMZ2ZyS924GfXEDmgBOQJZ3OT+9NtUMqiiZ17Vr16Rfv35iYmIiP//8s4iIhIeHGziqV4uIiJB58+ZJlSpVBJDcuXPLyJEj5dq1a4YO7a3ExcXJ7t27JTY2VkREOnToIICUL19evvrqK9m7d6/Ex8cbOEolI/Dz85Nbt25JdHS0lCpVSqZMmSJxcXFSsmRJWbhwoeh0Orlx48YH39T/NkiFZtDnE+EWBO4m7yoEPHj3HFJRFCV1iQj9+vVj6dKlmJmZMXToULp37w5Azpw5DRzdv12/fp05c+awePFiwsPDqVq1Ku7u7vTq1StDTSnwOoGBgWzdupUtW7awa9cuIiMj2bVrF82bN2fKlCnMnDlTv0yXkrmtX78eEaFTp07UqFGDVq1a4enpSfv27alUqRJZsmTh9u3b+ombP/SRzanlbZpBhwPfA48AXfJuEZEqaRTbe1PNoIqSeRw5coSEhATs7e2ZMGECAF9++WWG7NuVmJjIpk2bcHNzY8+ePZiamtKlSxeGDRtG/fr1M/wKAzrds18BRkZGjBo1ilmzZgFQpEgR/cS0zZo1+2CSTSVtxMXFkTVrVlxdXQkMDGT27Nk0btwYTdM4cOAAmzdvpkSJElSuXNnQoWYY7z3PGs+m7SgnIsGpF5aiKMr7+/7775k8eTIODg7Y29szdepUQ4eUokePHrFgwQL++usvfH19sba25qeffmLQoEEULFjQ0OG9VlhYGDt37mTLli1s3bqVlStX4uDggIODA/nz56dt27ZUqVIlwyeaStoJDw/n4sWLNGjQgFGjRrFlyxZu3LjB48ePCQgIAGDlypX6Pmft2rUzZLgflLdJ1nyBsLQKRFEU5U3pdDo2bNjAgQMHmD17Np06dcLS0pJPP/3U0KH9i4hw9OhR3NzcWLNmDQkJCTRv3pzZs2fTvn37DN+5fv369fz+++8cPnyYxMRE8uTJg6OjI7ly5QLAyckJJycnA0epGMqFCxdYu3YtkyZNYsqUKfz222+EhobSqFEjLC0tSUpKYubMmfrjraysDBjth+tN1gYdnfyyElAO2ALEPf9cRGamdF5GoJpBFeXjkpCQgLe3N66urly9epUyZcpw8uRJLCwsDB3av0RFReHl5YWbmxvnz58nV65c9OvXj88//5zy5csbOrwUxcbGsn//frZs2YKLiwu1a9fGzc2Nv/76S9+8Wbdu3QyfYCppIzY2FhMTE44dO8aECRNYu3YtW7ZsYfDgwVy/fp3ExET8/f1p2LBhhlj8/EP0Ps2gz3vkPkjesiRv7xuQBbAAqAwIMAC4DqwESgD3gG4iEpp8/HhgIJAEjBCRHe8bg6IoH4akpCSMjY3ZtWsXffv2xdbWFm9vb7p27Zrh1r68ceMGc+fOZdGiRYSFhWFra8u8efPo3bt3hlwIPiAggE2bNrFlyxb27NlDdHQ02bJlo0aNGtSuXZuhQ4cybNgwQ4epGEBCQgInT56kTJkyXL9+nRYtWrBr1y6yZs1KfHw8jx49olu3bnTt2lX/37ZaZSKNpDRE9F024I+3PH4JMCj5dRbAAvgZGJe8bxwwPfl1ReA8kBUoCdwGjP/rGmrqDkX5sEVHR8vPP/8sRYsWlXv37klSUpLs2rUrww3lT0hIkA0bNkiLFi0EEBMTE+nRo4ccOnQow8WamJgohw8fltu3b4uIyOzZswWQEiVKyLBhw2Tr1q0SHR1t4CgVQwkPD5fp06fLsWPH5OrVqwKIu7u7hISEyKhRoz64qWQ+NLxi6o7UTNbOvMWxuXg2/Yf2j/3XAavk11bA9eTX44HxLxy3A6j3X9dRyZqifJiCgoIkPDxcYmNjpXDhwtK8eXO5fPmyocP6l0ePHsmUKVOkWLFiAkiRIkVk8uTJEhgYaOjQXhIcHCzLly+XXr16iaWlpQAybtw4ERF58uSJXL58OcMllUraS0pKkrCwMImLixMnJydxc3OTmJgYMTMzkylTpohOp5MNGzZIcHCwoUPNNF6VrBmq40Ep4AmwSNO0qsBpno02LSgigQAiEqhp2vMx90UAnxfO90ve9y+apg0GBgMUK1YsbaJXFCVNBAYGMmPGDObNm8e4ceOYOHEiFy5cIG/evIYOTU9E8PHxwc3NjdWrVxMfH0/Tpk357bffcHJyyhD9uUSEuLg4zMzMWLFiBb1790an05EvXz5937OWLVsCkC9fPvLly2fgiJX0cu3aNZ4+fYqdnR0VK1akfv36LFy4kKSkJJKSkjAzMyMwMFDfD7RDhw6GDVgB3m40aGpftwYwXESOa5o2m2fNnq+S0ljwFEdGiIg74A7PBhi8b6CKoqSPMWPG8Pvvv5OYmEjPnj3p1KkTQIZJ1J4+fYqXlxcLFizg7Nmz5MyZk8GDBzN06FAqVKhg6PCIjo5mz549+qk1XFxc+Omnn7Czs2PChAm0bduW2rVrZ7g+fkraW716Nb6+vowePZoBAwYgIhw7dowvvviCokWLArB582b98RlxwE5ml5rJ2ttMruMH+InI8eT3a3iWrD3SNM0quVbNCnj8wvFFXzjfGgh434AVRTGsK1euEBQUROPGjTE1NaVfv3588803lC5d2tChAc9qqA4cOICHhwdr1qwhNjaWKlWqMHfuXD755JMMMWDg3LlzTJgwgb179xIXF4e5uTktWrSgdu3aAJQsWZIff/zRwFEq6eXx48cUKFCA3377ja1bt7Jr1y62b9/O8ePHGTVqFH/88Qd58uQB4IsvvjBwtMqbeqdkTdM0IyCHiIS/sHv2m54vIg81TfPVNK2ciFwHmgFXkre+gGvyvxuTT/kb8NI0bSZQGLABTrxL7IqiZAyzZ8/myy+/pGbNmpw6dSpDTWQbEBDAkiVLWLhwIbdu3dJPuzFo0CBq1KhhsIlfExISOHr0KFu2bKFUqVIMGTIEMzMzbt68yZAhQ2jbti2NGzcma9asBolPSX+PHz9m3759dOvWjR9//JGpU6fy9OlTzM3NsbS0JD4+nt9//53s2bOjaRo1a9Y0dMjKu0ipI1tKG+DFs4EB5sA1IBAY86bnp1BeNeAUcAHYAOQB8gJ7gJvJ/1q+cPy3PBsFeh1o/SbXUAMMFCXj0Ol0sn//fvn6669FROTixYvy3XffyZMnTwwc2TPx8fGyYcMGad++vRgbGwsgjRs3Fk9PT4mKijJYXE+fPpUlS5ZIt27dJHfu3AKIqampfPHFFyIiamBAJnTp0iUZMmSIBAcHi7u7uwBy5coVOXHihMyePVsiIiIMHaLyjnjFAIO3WRv0nIhU0zStN1ATGAucFrU2qKIoryEibN26lalTp3L06FEKFizIuXPnKFSokKFDA57Ni+bh4cGSJUt49OgRhQoVol+/fgwYMMAgi0iLCGfPniUyMpLGjRtz+fJlKleuTKFChWjTpg1t27alefPm+hUElI9baGgoJiYm3Llzhz59+uDu7k5iYiKtW7dm+/btlCtXjgcPHlC1alXVH/EjkBprg5pqmmYKdAT+FJEETdNUB35FUVIkImiaxqFDh2jXrh3FihXjzz//ZMCAAWTLls2gsUVFRbFmzRo8PDw4dOgQxsbGtG3bloEDB9KmTZt0H9EZERHB7t279YMDAgMDsbOzw8fHh4oVK3LmzBmqVq2KkZFRusalpL/4+Hh2795NiRIlyJo1KzY2NixYsAAnJycKFSqETqejXr16hISE6FcJUKN5M4GUqttS2oARgD+wlWeDCYoDh970fENsqhlUUdJfQkKCeHh4SIUKFeTmzZui0+lk3bp1Eh8fb9C4dDqdnDhxQj777DPJlSuXAFKmTBmZNm2aBAQEpHs84eHhIiJy584dMTU1FUBy5colXbt2lcWLF8ujR4/SPSYl/el0OklMTJTx48fLihUrJCoqSrJkySJjxowRnU4n06ZNy5BzDCppg/dtBk2JpmkmIpL43hljGlHNoIqSfqKjo/XzNNnY2GBpaclff/2lH5VoKMHBwSxfvpwFCxZw8eJFsmXLRpcuXRg0aBCNGjVKt8EC8fHxHDx4kC1btrBlyxby5s3LsWPHEBEmT55MkyZNaNCggVpT8SMXGxvL48ePKVasGE5OTvoa50qVKtGmTRt++eUXTp06RaVKlQxeA62kv/duBtU0rSAwFSgsIq01TasI1AM8Ui9MRVE+NGFhYcyZM4fffvuNIUOGMHnyZI4cOULhwoUNNmpSp9Oxd+9eFixYwPr164mPj6dWrVrMnTuXnj17kjt37nSLJSwsjP79+7Nr1y4iIyPJmjUr9vb2ODk56ZuKv//++3SLR0l/p0+f5t69e3Tu3JnmzZvruweUL1+eggULAnD+/Hl983utWv/6Xa1kcm8zwGAbsAj4VkSqappmApwVEdu0DPB9qJo1RUlbrq6uuLq6EhYWhqOjI9999x3169c3WDy+vr4sWrSIRYsWce/ePfLkycMnn3zCwIEDqVq1appfX6fTcfLkSbZs2cLDhw9xd3dHRKhXrx5Vq1albdu2NGvWDHNz8zSPRTGM5wn4mjVr2LNnD3PnzsXFxYUdO3bw8OFDtmzZgpGREW3atDF0qEoGlBoDDPKJyCpN08YDiEiipmlJqRahoigfBD8/Px48eED9+vWJiIigRYsWjB8/nho1ahgknvj4eP7++288PDzYsWMHIkKzZs2YOnUqnTp1wszMLE2vn5iYyLp169iyZQvbtm3jyZMnGBkZ0bBhQxITEzExMcHHx+e/C1I+SDqdjitXrlCpUiUWLFjApEmTuHPnDrdu3eLAgQPExMTw448/MnPmTDRNo127doYOWfkAvU3N2n6gM7BLRGpomlYXmC4iTdIwvveiatYUJXUtWbKETz/9lFKlSnH16lUAgzV1XrlyBQ8PDzw9PQkKCqJIkSL079+f/v37U6pUqTS7rohw7do1zp49S69evdDpdBQpUoS4uDgcHR1p27Ytjo6OGWaZLCX1PXz4kHXr1tG7d29WrVrF4MGDuXnzJvfv32fFihVMmzYNS0tLNXpXeWuvqll7m9GgNYAjQFjyvzeAKm96viE2NRpUUd7f+fPnZeLEiaLT6eTatWsydOhQuXv3rkFiiYiIkAULFkjdunUFEBMTE+ncubNs3bpVEhMT0/TaFy9elPHjx0upUqUEEGNjYwkLCxMRkZs3b0pCQkKaXl8xjMTERImLi5Pbt29Lz5495dy5c7Jv3z4BZOvWreLr6yuLFy+W0NBQQ4eqfARIjdGgyf3UyvFs6o7rIpLwfjlk2lI1a4ry7nx8fJg6dSqbNm0iR44cnD9/Pk1rrF5FRPDx8cHDw4MVK1YQFRVFhQoVGDhwIH369KFAgQJpHkPTpk3Zt28fxsbGNGvWjE6dOtGmTRuKFSuW5tdW0ldCQgKHDh3C2tqarFmzUqVKFf744w9atGhBzZo1mTdvHo6Ojvj6+lKqVCmD1SwrH6d37rOmaZrzKz4qq2kaIrLuvaNTFCVDOXPmDPXq1cPS0pLJkyfzxRdf6Bd/Ti9Pnjxh6dKlLFiwgKtXr2Jubk737t0ZOHAg9erVS7Nfkk+ePGH16tWsXr2aDRs2kDt3btq1a0fnzp3p2rVruiSHSvpJSEhA0zS+/vpr6tatS/v27WnZsiVjx47lxx9/pG/fvpQtWxYrKyv8/f31/92VLl3awJErmcmbDDBo/5rPBFDJmqJ84HQ6HZs2bcLV1ZWFCxdSvXp1PD096dSpEzly5Ei3OJKSkti5cyceHh78/fffJCQkULduXebPn0/37t3JmTNnmlw3IiKCDRs24O3tzc6dO0lKSqJSpUo8ePAAW1tbRo8enSbXVdLfpUuXiI6Opnbt2tSoUQM7OzvmzZvHrl27yJUrFz169GD//v1UrlwZIyMjfv/9d/25qhZNMZT3mhQ3o1PNoIryeomJicTFxWFmZkb58uVJSkrCw8MDBweHdI3j7t27+ik3/Pz8yJcvH3369GHgwIFUqlQpTa4ZFxeHkZERpqam9O/fn8WLF1O8eHF69uxJr169sLXNsLMSKW8oKSkJY2Nj5s6dy9OnTxk/fjy1atUiZ86c7Nu3j59++omSJUvSu3dv/ZQbimJIr2oGfds+a22BSoB+LLyITE6VCNOAStYUJWVxcXEsWbKE6dOn06VLF6ZPn87t27cpXrx4uq2LGRsby4YNG/Dw8GD37t1omkbLli0ZNGgQTk5OZMmSJdWvmZSUxMGDB/Hy8mLNmjW4u7vTtWtXLl26RFhYGPXq1VMj+D5gDx8+5Pr16zRp0oThw4dz9OhRTp8+zSeffMKjR4/YtWsXJ0+eJF++fJQsWdLQ4SrKv6TGCgbzgOyAA7AA6AKcSLUIFUVJF/Pnz2fSpEkEBARQu3ZtGjduDKRfH5wLFy6wYMECli1bRmhoKMWLF+eHH36gX79+adZh//r167i7u7NixQoCAgLIkSMHnTp10v/Crly5cppcV0k7z2vC9uzZw/r16/njjz+YMmUKixYt4unTp9SpUwcLCwtEhCVLlmBsbAxg8OXPFOWdpDRENKUNuPCPf3MAO9/0fENsauoORXkmJCREjh8/LiIi33//vTg4OMiuXbtEp9Oly/WfPn0qc+fOlVq1agkgWbJkke7du8vOnTslKSkpTa55/fp1uXbtmoiIrFmzRkxNTaVDhw6ycuVKiYqKSpNrKmknKipK9u3bJwkJCbJ06VKxtLSUsLAw+eOPP6RgwYISFBQk165dk+PHj6fZf1OKktZ436k7NE07ISJ1NE3zAZyBEOCiiNikQQ6ZKlQzqKLAhg0bcHFxIU+ePNy5cwdAX8uQlkSEQ4cO4eHhwerVq4mJicHW1paBAwfyySefpMmksQEBAaxcuRIvLy9OnTpFr169WL58OXFxcURHR6f7iFbl3YkIt2/fxs3Nja+//pqDBw/Sq1cvTp8+TXx8PIsWLWLSpEnky5cPExMT1d9M+SikxnJTmzRNswB+Ac7wbCTo/NQJT1GU1HT//n2WLVvGhAkTqFKlCm3btmXcuHHpkqQ9fPiQJUuWsHDhQm7cuEHOnDnp06cPgwYNolatWmnyS/XWrVt89tln7Nu373mtOjNmzKB79+4AZM2alaxZs6b6dZXU8XzJpgIFCvD48WOcnJxwd3fH0tKSefPm0aZNG1q0aMGWLVsoW7YsOXLkoG7duoYOW1HSzdska9eAJBFZq2laRZ6taLAhTaJSFOWdXLt2DVdXV5YvX46maTg5OWFra4u3t3eaXjcxMZFt27axYMECtmzZQlJSEg0bNmTChAl06dIl1Rcuj46OZvPmzYSEhDBkyBAKFChAUFAQ//vf/+jZsyflypVL1espqS8qKopZs2bRqFEjihcvjq2tLX/88QcuLi5Ur14dc3NzqlWrRlhYmH6wiVr8XMm0UmobTWnj//uqNQQOAh2A4296viE21WdNyUyuX78umqZJtmzZZOTIkfLgwYM0v+aNGzdk3LhxYmVlJYAULFhQvvnmG31fsdSUkJAg27Ztkz59+kiOHDkEkEqVKqVbvzvl3QUGBsrt27clISFB6tatK1OmTJGEhATJkSOH/Pjjj6LT6cTLy0v8/PwMHaqiGBSv6LP2NjVrScn/tgXmichGTdMmpVbSqCjK2zt8+DBTp05l2rRpVK1alXnz5tGpUyfy58+fZteMiYlh7dq1LFiwgAMHDmBkZESbNm0YOHAgbdu2xdTUNNWvGRcXR6lSpQgICMDCwoIePXrQq1cvGjdurPoqZVBLlizBxMSEXr16UbNmTezt7Vm+fDkVKlSgcOHCmJiYEBgYqJ90uWfPngaOWFEyrrcZYLAZ8AeaAzWBGOCEiFRNu/DejxpgoHyMRIS4uDiyZMmCra0tT548Yf78+XTo0CFNr3vmzBkWLFiAl5cXYWFhlC5dmgEDBtC3b1+KFCmSqte6dOkSXl5e7N+/n0OHDmFsbMz06dMpX748jo6Oqv9ZBhIdHY2vry/lypVjxIgRPHnyBG9vbxwcHDA1NWXnzp38/fffFC1alOrVqxs6XEXJ0FJjgEE3wBH4VUSeappmBYxJrQAVRXk9nU7H+vXrmTp1Ko0aNWLWrFmsXbuWYsWKkT179jS5ZmhoKMuXL8fDw4Nz585hZmZG586dGTRoEI0bN07VCWTv3buHt7c3Xl5eXLp0CWNjY1q0aEFQUBAFCxZk7NixqXYt5f0cPHiQkydP8tVXX9GvXz9OnTrFnTt3KFiwoL5mdcOGDeTKlQsAJycnQ4arKB++lNpGP5ZN9VlTPharV6+W8uXLCyA2NjaydOnSNLtWUlKS7NmzR3r16iVZs2YVQGrUqCFubm4SGhqaqtd6/Pixvs+Zvb29AFK/fn35888/5dGjR6l6LeXtJSUl6fsfLlq0SKpXry5JSUkyYcIEyZEjh8TGxsqhQ4dk06ZNqu+goqQCUqHPmqIo6SgmJobr169TrVo1bt68SdasWVm5ciWdO3dOkyk4/P39Wbx4MQsXLuTOnTtYWFgwaNAgBg4cmKrNV88XTffy8mLXrl0cOnSIevXqMXPmTCwsLNQyQAZ2+/ZtVq5cyZdffsn8+fP58ssvCQgIIFeuXJQoUYKwsDC++eYbvv/+e7JkyULDhg0NHbKifPTUQu6KkgHt2bOH3r17o2ka9+7dQ9M0TE1NU70zfUJCAps2bcLDw4Pt27ej0+lwcHBg4MCBODs7ky1btlS71sGDB3Fzc2PTpk3ExMRQvHhxevXqxWeffUbx4sVT7TrKm3v06BE5cuTg6tWrfPHFF/pEvX379hw7dox8+fJx+PBhnJ2d9U2aiqKkndTos6YoShoKDg5m6dKljBgxgrJly1K9enXGjh1LlixZUj1Ju3btGh4eHnh6evL48WMKFy7MuHHjGDBgQKqtEfp80fQSJUpQsmRJzpw5w969e+nfvz+9evVSi6YbQHh4OCtXrqRhw4ZERUVRu3Zt1q5dS9WqVTE1NSUyMpLmzZsTFBSkX2GiTJkyBo5aURSD9ytLy031WVM+BP7+/jJ69GgxNzcXQI4dO5Ym14mIiJCFCxdKgwYNBBATExPp1KmTbN68WRISElLlGjqdTk6dOiWjR4+WwoULCyDjx48XEZHo6GiJj49Pleso/y06OlqCg4MlLCxM2rZtK8uXL5egoCAB5JdffpHY2Fj55Zdf5Pbt24YOVVGUZGTEPmuaphkDpwB/EWmnaZolsBIoAdwDuolIaPKx44GBPJvvbYSI7DBI0IqSivz8/ChTpgyJiYn07NmTcePGUalSpVQrX0Q4ceIEHh4eeHt7ExkZSbly5fj5559xcXGhYMGCqXatQ4cOMWjQIG7cuIGpqSlt2rShV69etGvXDiBVm1SVfxMRNmzYgIWFBY0aNaJgwYIMHjyYX375hadPnxIXF0fevHm5c+cOJUqUQNM0vv76a0OHrSjKGzB0M+hI4CrwvDPEOGCPiLhqmjYu+f3Y5OWtegCVgMLAbk3TyopIUkqFKkpGdunSJVxdXRk5ciS1a9dm+vTptG/fnlKlSqXaNYKCgli6dCkeHh5cvnyZ7Nmz061bNwYOHEiDBg1SpVnV39+flStXkidPHvr374+1tTWFCxdmzJgxODs7Y2lpmQp3oqREp9MREhJCvnz5GD16NObm5vz444+MHz+e8uXL4+DggKurK1WqVEHTNA4fPqw/Vw3gUJQPj8GSNU3TrHm2GsIUYHTy7g6AffLrJcB+YGzy/hUiEgfc1TTtFlAHOJaOISvKe0lMTMTY2BgXFxdu3LhBy5YtqV27NiNHjkyV8pOSkti9ezceHh5s2LCBhIQE6tSpg7u7O927d0+VDuKhoaGsXbtWP2GtiNC9e3f69+9PyZIl2bdvXyrciZKS06dPc/fuXbp06UKbNm2IiIjgyJEjPH36lMTERAC2bt2qn6B46NChhgxXUZRUZMiatVnAN0DOF/YVFJFAABEJ1DStQPL+IoDPC8f5Je/7F03TBgODAYoVK5bKISvK2xER9u/fz9SpU7GxsWHOnDksWbKEwoUL6ztwv6/79++zaNEiFi1axIMHD7C0tGTo0KEMHDgQW1vb9y5fRNA0DV9fX8qUKUN8fDw2NjZq0fQ0FBYWRu7cuVm8eDHbt29nxYoV/Pnnn2zevFk/KXFsbCwACxcu1J+XmrWziqJkHAYZiqVpWjvgsYicftNTUtiX4pwjIuIuIrVEpFZaro+oKP9lz549NGjQgKZNm3Lx4kV9UmNra/veiVpcXByrVq2iVatWlCxZksmTJ1OuXDlWrlxJQEAAs2bNeq9ELTExke3bt+Pi4oKDgwMARYsW5YcffuDkyZNcv36dSZMmqUQtlfj6+rJ48WJEhKlTp1KwYEHi4uIIDQ3Fz8+PuLg4fvjhB65evYqmaXTp0oVPPvnE0GEripJODFWz1gBw0jStDWAG5NI0bRnwSNM0q+RaNSvgcfLxfkDRF863BgLSNWJFeQNJSUncvHmT8uXLc/78eQIDA5kzZw79+/fHzMzsvcu/dOkSHh4eLF26lODgYIoWLcr//vc/+vfv/95zlYkIx44dw8vLi1WrVvHkyRMsLCzo3Lkz8fHxZMmShXHjxr33PWR2sbGxmJqacuLECaZOnaqvPRs8eDD169enadOmmJqaEh8fz6hRoxg1ahSgWgoUJTMz+KS4mqbZA18njwb9BQh+YYCBpYh8o2laJcCLZ/3UCgN7AJv/GmCgJsVV0tOJEyf45JNPCA0N5d69e5iYmGBkZKRfK/FdPZ8ba8GCBZw4cQJTU1M6duzIwIEDad68+XuvZnDnzh1KlSqFiGBjY4O/vz9OTk706tVLLZqeCiIiItizZw9169blypUrtG7dmgMHDpCQkMCnn37KypUrsba2JigoiLJly6b6nHqKonw4PpRJcV2BVZqmDQQeAF0BROSypmmrgCtAIjBMjQRVMoLo6Gi8vLzo378/RYsWpUCBAri6upItW7b3mvBVRDh69CgLFixg1apVREdHU6lSJWbOnMknn3zC+zbx37t3jxUrVuDl5cXFixe5f/8+xYoVY+3atZQqVYqcOXP+dyHKv4gI8fHxPH36lPHjx9O3b1/y5ctHp06dWLx4Ma1bt2bkyJHkzZsXGxsbrl27pj83tfowKoryEUpp8rWPZVOT4ippJTQ0VKZMmSL58uUTQHbs2JEq5T58+FB+/vlnKVeunACSI0cOGTRokPj4+KTKQtnLli3TT4rLC4umP336NBWiz3ySkpLk0KFDcvHiRXn69KnkzZtXZsyYIVFRUVKoUCFZsmSJJCUlyeHDhyUmJsbQ4SqKksGRESfFVZQPUUhICCVLliQ8PJzWrVszYcKE91rMOjExkR07duDh4cGmTZtITEykfv36LFy4kK5du5IjR453LjsiIoKNGzfSqlUr8ufPz5kzZwgLC2Pq1Kn06NFDzbn1FkSEmJgYsmXLxrfffkupUqUYMGAA7dq1o3v37vz111/069ePqlWrkj17dgICAvRNmg0aNDBw9IqifMgM3mctLak+a0pqEBFWrVrFnDlz+OGHH7C3t+eXX36hefPmVK9e/Z3LvXPnDgsXLmTRokUEBASQP39++vbty4ABA6hQocI7lxsXF8f27dvx9vbm77//JiYmhvnz5zNo0CD9QAHlzWzbto3o6Gg6d+5MvXr1KFy4MGvXrqVhw4ZUr16dP/74g6NHj2JjY/PeTdOKoigfSp81Rckw/Pz80Ol0FCtWjNmzZ/Pw4UMiIiIAGDNmzDuVGRMTw/r161mwYAH79u3DyMgIR0dH/vjjD9q1a/feidTy5csZPnw4oaGh5MuXjwEDBtCzZ0/q1asHoBK1V7h79y6+vr40btyYL7/8krt377Jx40Zmz57N48eP6dy5My4uLvq+fIcOHdLXmtWvX9+QoSuKkgmoZE1RXqDT6di7dy9z5sxh48aN9OvXDw8PD9auXUvBggXfedDA2bNn8fDwYPny5Tx9+pSSJUvy448/0q9fP6ytrd+pTBHhzJkzeHl5Ub9+fTp37kypUqVo164dvXr1olmzZu89EvVjk5SUhK+vLyVKlGDRokXs27cPT09P/ve//7F37178/f2xtrbWP+eFCxfql836/PPP9eWoEZuKoqQnlawpygs6dOjA5s2byZcvH9988w2fffYZAFZWVm9d1tOnT/Hy8sLDw4MzZ86QNWtWOnfuzMCBA7G3t3/nxO/GjRt4e3vj5eWlXzQ9V65c+qa657VomV1SUhLGxsYcOXKEjRs3Mn36dMaNG8eff/5JREQET5484fbt2yQlJTFu3Di++uorROSlxc0LFy5swDtQFEV5RvVZUzK18+fP8/vvv1O0aFEmTZrE2rVriY2NpUuXLu80v5iIcODAATw8PFizZg2xsbFUrVqVQYMG0atXr3de3Px54nHo0CEaN26MpmnY29vTq1cvOnfuTJ48ed6p3I+Jr68vO3bsoE+fPnh5eTFs2DD8/f3x9vbmm2++4c6dOzx48IArV67QvXt3NX+coigZzqv6rKlkTcl0YmNjuXnzJra2tvz0009MmzaN4cOH4+rq+s5lBgQEsGTJEhYuXMitW7fInTs3vXr1YuDAgdSoUeOdms2eL5ru7e1N7ty5WbduHQkJCcydO5fOnTvrF+zObGJjYzl//jwVK1bk/PnzjBw5klWrVnHmzBm6devGqVOn0Ol0rFixgrFjx5I7d25MTEzee/JgRVGUtKYGGCiZ3p07d5g3bx4LFy7EzMyMe/fuMXz4cL744gssLCzeuryEhAS2bt2Kh4cHW7duJSkpiSZNmvC///2Pzp07kz179rcuMz4+ng0bNuDl5cXWrVtJSEjAxsaGZs2aAWBqasqIESPeutwPVVRUFJqm8ejRI3744QdGjRpFaGgoDg4ObN++ncKFC5M3b16ioqJo1aoVt27domTJkhgZGVG7dm1Dh68oipIqVM2akim4u7szZMgQjIyM6NixI0OHDsXBweGdarwuX76Mp6cnS5Ys4dGjR1hZWdGvXz8GDBhAmTJl3rq8xMRErly5QpUqVYiNjaVgwYKYm5vTs2dPevbsSc2aNTNFh3YRISIiAg8PD5o0aULOnDkpV64cS5YswcHBgZo1a7JgwQIcHBzYtWsXjRs3VrP+K4ryUVHNoEqmEhwczIIFCzh06BCbNm3i1q1bLFu2jE8//fSdRl8+fvwYb29vli5dyunTpzE2NqZt27YMGjSI1q1bY2LydpXU8o9F06Oionj8+DHm5uZcu3YNGxubj7rZLikpif3795M/f35KlSpFjRo1GDp0KJ9++im5cuVi2rRpjB49milTpuDs7EzlypUBNQpTUZSP26uSNYMvCZWWm1puKnPR6XRy7tw5ERE5ffq0AOLg4CDBwcHvVF5MTIysWrVK2rVrJ8bGxgJIzZo1Zfbs2fLo0aN3jnPy5MlSokQJAcTMzEy6desmGzZskPj4+HcuMyN79OiR3LlzR3Q6nfTo0UNmzJghSUlJkjNnThk6dKiIiAwYMEA2bNggIiJPnjwxZLiKoigGg1puSvlYRUVF4e3tzZw5czh79iynTp2iZs2a3Lp1i9KlS79VWSLPFlD39PRk5cqVhIWFUbhwYb766itcXFyoVKnSW8d37949Vq9ezYgRI8iaNSvXrl2jfPnyTJ48mY4dO35Ui6ZHR0eTPXt2Zs2aRZYsWRg6dCh169alVq1arFq1ipiYGGJjYzEyMmLPnj365+Ph4aEvI1++fIYKX1EUJUNSzaDKB+3WrVvUqlWLsLAwbG1tGTZsGL17937r9TTv3LnDsmXL8PT05Pbt22TPnp3OnTvTp08fmjZt+tZNko8fP2b16tV4eXlx9OhRAPbt24e9vT06ne6d51jLaPbu3UtgYCC9e/emTZs2xMTEsG/fPlq3bo25uTlr1qzh77//pmDBgtjZ2Rk6XEVRlAxNNYMqH4XExERZu3atNG/eXG7fvi06nU6+/PJLOXTokOh0urcqKzQ0VNzd3aVhw4YCiKZp0qxZM1myZIlERES8c4zff/+9vtnU1tZWpk2bJnfv3n3n8jKCBw8eyO7du0VE5LvvvpMmTZqIiEjPnj2lRIkSIiKyePFimT9/vog8e06KoijK2+EVzaCqZk35IAQGBpI1a1Zy5cqln5ph0aJFNG3a9K3KSUhIYOfOnXh6erJx40bi4uIoX748ffv2pXfv3hQtWvStynu+aLqXlxeff/459vb2bN68maNHj9KzZ09sbW3fqjxD0+l03Lt3j1KlSrFq1Sq8vb1Zt24dX375JQsWLCA8PJwFCxZw5swZ5s2bx+PHj8mZM+c7TVOiKIqivEzVrCkfHJ1OJ/v27ZOuXbuKiYmJTJ48WUREbt68+VY1NzqdTs6cOSNffvmlFChQQADJmzevDB8+XE6ePPnWNXIJCQmyZ88eGTRokFhYWAgg+fLlk2XLlr1VOYaWkJAgOp1OTp06JaNGjZL4+HiZOnWqABIWFiZ//fWX1K5dW8LCwuT69ety6tQpSUpKMnTYiqIoHy1UzZryIRERGjZsyNGjR8mTJw8DBgxgyJAhbzWPWUBAAMuXL8fT05NLly6RJUsW2rdvj4uLC46OjmTJkuWNy4qNjSUqKoq8efOyaNEiBgwYQI4cOejUqdMHs2j6w4cP2bp1K87Ozuzbt4/evXtz+fJlTpw4wYABAzh37hzx8fGcOHGCrl27vnW/P0VRFOX9qHnWlAzv4sWLzJkzhzp16tC/f3/++OMPcubMSffu3cmWLdsblREVFcWGDRvw9PRk9+7d6HQ66tWrh4uLC926dXurtTkjIiLYunUr69atY+vWrfTv35/ff/+d4OBgDhw4gKOjY4Zs/ouPj+fChQuUKlWKBw8e8OmnnzJ37lzCwsJo3rw5O3fuxNraGnd3d0aNGkWhQoUwNjb+qOd1UxRF+RCo5aaUDCkuLo7AwEBKlCjB77//zrJlyyhUqBAAw4cPf6MydDodBw4cwNPTkzVr1hAZGUnx4sX59ttv6dOnDzY2Nm8V07Vr1/j666/ZtWsX8fHxFChQgF69etGlSxcA8ubNi7Oz89vdaBqJiYkhKSmJqKgoJkyYQP/+/cmVKxe1a9dm+fLlNGzYkFy5cpGQkED9+vW5fv06ZcqUwcjIiN9++83Q4SuKoihvQNWsKQbx4MED/vrrLxYsWEDp0qU5evQoAQEBZM2a9Y2XELp+/Tqenp4sW7aMBw8ekDNnTrp164aLiwsNGzZ84+kx/Pz82LBhA6ampnz22WcEBgbSoEEDOnbsSKdOnahfv36GqHUSEeLj45k3bx41atSgfPnyWFlZMWPGDP1SVzNmzKB79+5s3LiRxo0bU6BAAUOHrSiKorwhNcBAyTBcXV3FyMhIjIyMxMnJSbZv3/7GnfyDgoLkzz//lDp16gggRkZG0rp1a/H29paoqKg3juHGjRsyffp0sbOzE0AAcXR01H/+toMOUptOp5O9e/fKiRMnJDExUSpXrizfffedJCUlSY4cOWTs2LEiIjJ16lQ5deqU/hxFURTlw4UaYKAYSkhICIsXL+b27du4ublx8OBBduzYweDBgylevPh/nh8XF8fWrVvx9PRky5YtJCQkULVqVVxcXOjZsydWVlb/WYaI8OTJEwoUKEBgYCCFCxcGoFatWjg7O9OpUyfKly//3vf6LoKCgggNDcXGxobBgwdjZWXFDz/8QPHixalfvz7e3t6MGDGCevXq0bNnT4KDg9UC5oqiKB8h1WdNSXd3796lZMmSHDhwgK+++opGjRoRHx9P48aNady48WvPFRFOnDiBp6cnK1asICQkhEKFCjFixAj69OlD1apV//P6Op0OHx8f1q1bx7p16zA2NubGjRtYWVmxbNkyGjVqRLFixVLrdt9IVFQU5ubmuLu7ExYWxpgxY3B0dMTCwoLdu3cTFxdHfHw8ABs2bNAvOv/777/ry1CJmqIoSuaiataUVBUTE8PKlSuZM2cO586d48GDB+TLl48rV65QpUqV/zz//v37+mWfbty4gZmZGZ06dcLFxYXmzZtjYvLff18kJiYyYsQI1q9fz8OHDzE1NaV58+Y4OzvTv3//dO1/dvjwYa5fv87AgQPp3bs3ly5d4vz58/Tq1YtHjx6xZ88edu7cSfbs2WnYsGG6xaUoiqJkPGrqDiXNnThxAkdHR0JDQ6lQoQJDhw6lX79+/zlfV3h4OGvXrsXT05P9+/cD0KRJE1xcXOjcuTO5c+d+7fnR0dHs3LkTHx8fXF1dAWjYsCFWVlY4OzvTpk2b/yzjfQUEBHDhwgUcHR359ddfWbZsGefOnWP48OEsXbqUkJAQ1q1bR2BgIMOHDycpKSlDDFpQFEVRMg41wEBJdYmJifL3339Lx44dJSwsTKKioqRPnz6yb9++/+zsnpiYKNu3b5devXpJtmzZBBAbGxv58ccf32gdzdDQUFm2bJl07txZsmfPLoDkyZNHHj9+LCJp29k+JCREREQ2b94sjo6OEh8fLz/88INomiYRERHi5eUl/fr1k9jYWHn8+LFERkamWSyKoijKxwM1wEBJLY8fPyZ37txER0dTpEgR8uTJw4YNG6hdu/Z/nnvx4kU8PT1Zvnw5gYGB5MmThx49euDi4oKdnR2apr3y3JCQEP2kttWrV+fcuXNYWVnRsWNHnJ2dadKkSZqsIhATE8Phw4dp0KABa9eupW/fvty9e5cTJ04wffp0/v77b+Lj43ny5AnVq1d/o6ZaRVEURfmnDFWzBhQF9gFXgcvAyOT9lsAu4Gbyv3leOGc8cAu4DrR6k+uomrXUo9Pp5MiRI9K7d2/JkiWLLF26VERETp06JfHx8a89NzAwUGbOnCnVqlUTQExMTKRDhw6ydu1aiY2Nfe259+/fl1mzZknjxo3FyMhI7ty5IyIi27Ztk6NHj6bZWpUPHz6Un376SW7cuCE7duwQQLZv3y43b96UyZMnS2BgYJpcV1EURcm8eEXNmqGSNSugRvLrnMANoCLwMzAuef84YHry64rAeSArUBK4DRj/13VUspY64uLipGbNmgJIrly5ZMSIEXLz5s3XnhMdHS0rVqyQNm3aiLGxsQBSu3Zt+eOPP/RNla8zf/58/TUBsbW1lf/9738SEBCQWrelp9Pp9E2WHTt2lI0bN8qDBw8EkMWLF0tUVJRs27ZNNWcqiqIoaepVyZpB2mtEJBAITH4doWnaVaAI0AGwTz5sCbAfGJu8f4WIxAF3NU27BdQBjqVv5JnH1atXmTNnDk5OTrRo0YJmzZrx2Wef0atXL8zNzVM8R6fTceTIETw9PVm1ahXh4eFYW1vzzTff0KdPHypUqJDieSLCmTNnWLduHUOHDqVIkSLcunULU1NTpk+fTqdOnd56yaj/EhAQQFRUFMWKFaNs2bL079+fiRMncvfuXZ4+fUrRokUJCgrST5Ph6OiYqtdXFEVRlDdl8M41mqaVAKoDx4GCyYkcIhKoadrztXKKAD4vnOaXvC+l8gYDg4F0n0PrQ5eQkEBYWBj58uVj+PDhHDp0iFKlStGiRQumT5/+yvNu3brF0qVLWbp0KXfv3sXc3JwuXbrg4uKCvb19iss+JSUlceTIEdatW8f69et58OABxsbG1KxZE2dnZ6ZOnfrGy0W9qW3bthETE0OnTp2oU6cODRo0YOXKlfTq1YuaNWtiYmLCuXPn9Mer+cwURVGUjMCgAww0TcsBHACmiMg6TdOeiojFC5+HikgeTdPcgGMisix5vwewVUTWvq58NcDgzQQEBODu7o67uztNmjTB29uba9euYWlp+cq1JUNDQ1m1ahWenp4cPXoUTdNo3rw5Li4udOrUKcXat/j4eJKSksiWLRvjx4/H1dWVrFmz0rJlS5ydnWnfvn2qJUgigqZpzJ07l9u3b/Prr7/SokULnj59ysmTJ9myZQvFihXD1tY2Va6nKIqiKO8rw61goGmaKbAWWC4i65J3P9I0zSq5Vs0KeJy8349ngxKeswYC0i/aj9e3337L9OnT0el0ODo64uLiApDi0ksJCQls374dT09P/QjIihUrMn36dHr16qWfbf9FUVFRbN++nXXr1rF582Z++eUXBg8ezCeffEL16tVp3bo1OXPmfO/70Ol03Lp1i7Jly/LTTz+xfPlyrly5ws2bN7lw4QIiwqJFi8ifPz8Abdu2fe9rKoqiKEp6MEiypj2bn8EDuCoiM1/46G+gL+Ca/O/GF/Z7aZo2EygM2AAn0i/ij0dYWBienp5ER0czduxYKleuzKhRoxgyZAilS5f+1/HP+5N5enri5eVFUFAQ+fPn5/PPP8fFxYXq1aunON3G8ePHcXV1Zfv27cTGxpI3b166dOmiX8WgUqVKVKpU6b3uJTAwkK1bt9KvXz+mTp3KDz/8QHBwMOXKlaNFixbExcUxY8YMfXwpJZOKoiiKkuGlNOogrTegIc9G+V0AziVvbYC8wB6eTd2xB7B84ZxveTYK9DrQ+k2uo0aD/r/nIzBnzpwpgDRv3vy1E8f6+vqKq6urVKxYUQDJkiWLdO3aVTZt2pTiVB0BAQEyd+5c2bFjh4iI7N69W6ytrWX48OGyb98+SUhISJX7uHr1qnz66afi7+8vXl5eAsipU6fk8uXL4unpqUZsKoqiKB8s1KS4mU9cXBxr1qxhzpw53LhxA19fX2JjY7l9+zY1a9b81/GRkZGsX78eT09P9uzZg4jQoEEDXFxc6Nq1K3ny5Hnp+Dt37rB+/XrWrVvHsWPHEBEGDRrE/Pnz0el0aJr22klu/0tUVBQ6nQ5/f3969uzJjBkzyJMnD/b29qxfv55atWoREBBAuXLl3us6iqIoipIRZLg+a0ra2rVrF7179+bJkyeUKVOGCRMmoNPpsLCweClRS0pKYv/+/Xh6erJ27VqioqIoWbIk//vf//jkk08oU6aM/lgRITo6GnNzcw4ePEiTJk0AqFatGj/88APOzs5UrFgR4J1Gcup0Ok6cOEHu3LmxsLCgePHizJw5k759+2JpaYmmaVStWpXg4GD9KgG5cuV6n69JURRFUTI8lax9JHQ6HTt37mTt2rX89ddflC9fngYNGvD555/TvHnzfyVPV65cYenSpSxbtgw/Pz9y585Nr169cHFxoUGDBvqaKp1Ox6lTp1i3bh3r1q3D1taWtWvXUrduXWbOnEnHjh0pWbLkO8ctIri5uVGoUCE6dOhAixYtcHFxwc3Njf/973/Ur1+fnDlzsmfPHv05qT2lh6IoiqJkZKoZ9AMXEhJCnjx5uHnzJuXKlaNgwYIcPnz4pRqx5548ecKKFSvw9PTk1KlTGBsb60eAtm/fnmzZsumPDQoK4ocffmDDhg34+flhYmJC06ZN6dmzJ/369XvneKOjo8mePTujR49GRPjtt9+oXr06FStWZPny5Rw6dIgKFSqQL1++d76GoiiKonyIVDPoR0REOHnyJHPmzGHFihXs2rWLRo0asXv3bho1akSWLFn0x8bFxbFp0yY8PT3Ztm0biYmJVK9end9++42ePXtSsGBBAGJjY9m8eTN+fn4MGTKEHDlysHLlSho0aMDUqVNp167dv/qsvYmnT59y9epV6tWrh4uLC5cuXeLMmTMkJCTojzlw4IC+ObNRo0bv+e0oiqIoysdFJWsfmJCQEFq2bMnp06fJkSMHAwYMoHDhwgA0a9YMeJbM+fj44OnpyYoVK3j69ClWVlaMGjWKPn366CeCjYiIYNWqVaxbt44tW7YQGRmJtbU1gwcPxszMDH9/f0xNTd86xvPnz7N9+3bGjh3L+PHjWbZsGSEhIbRt25bq1asjIvzxxx/641W/M0VRFEV5NdUM+gG4efMm8+bNY+DAgVSoUIFevXrRqFEjPvnkk5cSnbt37+qXfbp16xbZsmXD2dkZFxcXmjVrhrGxMTExMWTLlo2EhAQKFixIaGgoBQoUoGPHjjg7O+Pg4PBSzdx/eT7q8+DBg7i6urJ69WoWLlzI6NGj8fX1JTg4mJCQEBo0aICxsXFafD2KoiiK8lFQzaAfmMTERGJjYzE3N6d9+/bcvn2bihUrUrFiRby9vfXHhYWFsXr1ajw9PTl06BAADg4OfPvtt3Tu3JmcOXPi5+fH3LlzWbduHRcvXsTf358sWbLwyy+/ULZsWerXr//GiZSIcOfOHQoUKMDp06fp3Lkze/fuJSEhAV9fX3x9fenXrx/9+vUjV65cWFlZpcn3oyiKoiiZhUrWMphHjx6xYMEC/vrrL3r37s20adNYvHgxxYsX1yc+iYmJ7Ny5E09PTzZu3EhsbCzlypVjypQp9O7dm+LFiwMwa9YsVqxYwfHjxwGoUKECn332GbGxsWTJkoWBAwe+UUzR0dH8/fffVKtWjejoaGrWrIm3tzeNGjWiffv2mJqa0rx5cy5dupQ2X4qiKIqiZGJqDoQMZMSIERQtWpSJEydSrlw5GjduDEDdunWxsrLi3LlzjB49Gmtra9q2bcuuXbsYOHAgx48f58qVK7Rt25alS5eSmJgIPJtrLSkpialTp3L16lWuXLnCTz/99EZ9xGJjY/nqq69Yt24d8fHx9O7dm5UrV1K1alXmzp1Lw4YNKVKkCIsXL9bPraYoiqIoSupTNWsGFBERwfLlyzE3N6dPnz5YW1szbNgwhgwZQrly5QAICAjAy8sLT09PLl68iKmpKe3atcPFxQVHR0fOnDnDqlWr6NGjB3fv3sXIyIg2bdpQo0YN1q1bR9asWf8zjoSEBIKCgihUqBCtW7fG1taWn3/+mb///ptcuXLh7OzMhQsXKF++PMbGxgwZMiStvxpFURRFUZKpZM0AIiMjyZEjB5MmTWLmzJl06tSJPn368M033wDPmh2fJ2i7du1Cp9NhZ2eHm5sbzs7OFChQACMjI7p168bq1av1zZATJkzAycmJAgUKALw2Ubt27RoPHjygZcuWNGzYkNy5c7Nz507KlStH0aJF0TSNa9eu6fuyve+i64qiKIqivBs1GjSdxMfHs2HDBubMmUNISAjnz5/nwYMHPHz4kDp16iAiHDx4EE9PT9asWUNERATFihWjT58+dO3alXv37rFu3To2bdrEpk2baNCgATt37iQ4OJg2bdqQO3fu/4xh27ZtHDt2jMmTJ9OtWzeOHTvGgwcPWLNmDVmzZsXJySkdvglFURRFUVKiRoMa0Lp16xg2bBgPHz6kZMmSDBkyhMTERIoXL05sbCzfffcdS5cu5cGDB+TIkYOuXbvi4uJCQkIC7u7u1K9fn+joaPLkyYOTk5O+z1nLli1fec3w8HBy5cqFl5cXs2bN4tixY/j4+ODh4cG3337Ljz/+iJmZGZqm0bVr1/T6KhRFURRFeUsqWUsDIsLevXs5cOAAkydPxsrKipo1azJ06FBatWrF06dPmT9/Pp6enhw/fhwjIyNatGjBuHHjEBEcHByoUKECs2fP5vDhw/Tt2xdnZ2eaNGnyyklqY2NjOXLkCPXr12fNmjX069eP+/fvky1bNvLnz09ISAjjxo1j0qRJaJqm7xOnKIqiKErGpppBU9HzCWf37dtH06ZNyZcvH9euXSNv3rzEx8ezdetWPD092bx5MwkJCVSuXBknJyeyZs3Knj17OHz4MDqdjilTpjBhwgTi4uIwNTV95cLljx8/ZtGiRXTp0oUbN27Qpk0bdu3aRdGiRfH29mbIkCEUKlQo3e5fURRFUZR396pmUJWspYKzZ8/q1+m8ePEixYoVY82aNbRv356LFy/ql30KDg6mQIEC+sXQz507R//+/QGwtbWlU6dOODs7U6VKFTRNe+kaIkJiYiJPnz7l888/p3///lSqVImSJUuyePFiunTpwv79+2nSpAk5cuRI83tWFEVRFCV1qT5raeD+/fv06NEDHx8fsmfPTu/evdE0DT8/P27dukX16tW5fv06WbJkoUmTJlhaWnLhwgVy585NtWrVsLCwYPr06XTq1AkbG5t/lf/o0SOioqIoXLgw5cuXZ+DAgYwbN45r164REhJCiRIlePTokX70Z9u2bdP7K1AURVEUJY2pZO09WFlZYWpqyqxZs3B2dmbPnj3079+fffv2AVC7dm2aN2/OtWvX2LVrF8bGxjRu3Fg/iWyJEiX003U8t2PHDuLi4mjfvj3Vq1fH3t4eLy8vunTpQtWqVTE1NX1ppYDniZqiKIqiKB8n1Qz6HpKSktizZw+enp6sW7eOmJgYrKysaNasGZMnTyYuLo5q1arRokULnJ2dad++Pfny5dOfLyJomsa8efO4e/cu06dPp2nTpkRGRnLixAk2bdpEsWLFqFq1aprdg6IoiqIoGYNqBk0DdnZ2nD59muzZs1OkSBEePnxIYGAg9+7do2TJkgAEBQXp+5CJCLdv36Z06dJMmTKFVatWcf78eS5fvszly5cRERYvXqyvLWvfvr3B7k1RFEVRlIxBrQ36Hnr27EmWLFmIjo4mNDSUbt26sXnzZnbt2qU/JjIykiVLlqDT6fjxxx8pX748ERERlC5dmoYNGxIXF8fvv//O3r170TSNYsWKYWZmZsC7UhRFURQlI1E1a+9h9OjRhIWF4eDgQKNGjTAxefZ1Xrt2jdmzZzNp0iR2795Nv379qFq1Kp06daJYsWIYGRnRo0cPevToYeA7UBRFURQlo1N91t5TTEwMOp0OX19fPvnkE2bOnEn27Nlp2rQpGzdupHr16vj5+VGpUqV/TcehKIqiKIrynOqzlgb8/f0pXbo0v/32G7169cLc3JykpCRq1KhBcHCwfrUBCwsLwwaqKIqiKMoHSyVr76Fw4cKMGzeOOnXqkDt3bg4cOKD/7FWrDiiKoiiKorwNlay9B03TmDRpkqHDUBRFURTlI6aqfxRFURRFUTKwDypZ0zTNUdO065qm3dI0bZyh41EURVEURUlrH0yypmmaMeAGtAYqAj01Tato2KgURVEURVHS1geTrAF1gFsickdE4oEVQAcDx6QoiqIoipKmPqRkrQjg+8J7v+R9L9E0bbCmaac0TTv15MmTdAtOURRFURQlLXxIyVpKM8r+a0ZfEXEXkVoiUit//vzpEJaiKIqiKEra+ZCSNT+g6AvvrYEAA8WiKIqiKIqSLj6kZO0kYKNpWklN07IAPYC/DRyToiiKoihKmvqg1gbVNK0NMAswBhaKyJT/OP4JcD+Nw8oHBKXxNTKqzHzvkLnvPzPfO2Tu+1f3nnll5vtPr3svLiL/6sP1QSVrGZGmaadSWnQ1M8jM9w6Z+/4z871D5r5/de+Z894hc9+/oe/9Q2oGVRRFURRFyXRUsqYoiqIoipKBqWTt/bkbOgADysz3Dpn7/jPzvUPmvn9175lXZr5/g9676rOmKIqiKIqSgamaNUVRFEVRlAxMJWuKoiiKoigZmErW3pGmaY6apl3XNO2WpmnjDB1PetM07Z6maRc1TTunadopQ8eT1jRNW6hp2mNN0y69sM9S07RdmqbdTP43jyFjTCuvuPdJmqb5Jz//c8lzIH50NE0rqmnaPk3TrmqadlnTtJHJ+z/6Z/+ae88sz95M07QTmqadT77/H5L3Z4Zn/6p7zxTPHkDTNGNN085qmrY5+b1Bn7vqs/YONE0zBm4ALXi2DNZJoKeIXDFoYOlI07R7QC0RyRQTJGqa1hiIBDxFpHLyvp+BEBFxTU7Y84jIWEPGmRZece+TgEgR+dWQsaU1TdOsACsROaNpWk7gNNAR6MdH/uxfc+/dyBzPXgPMRSRS0zRT4DAwEnDm43/2r7p3RzLBswfQNG00UAvIJSLtDP3zXtWsvZs6wC0RuSMi8cAKoIOBY1LSkIgcBEL+sbsDsCT59RKe/SL76Lzi3jMFEQkUkTPJryOAq0ARMsGzf829ZwryTGTyW9PkTcgcz/5V954paJpmDbQFFryw26DPXSVr76YI4PvCez8y0Q+xZALs1DTttKZpgw0djIEUFJFAePaLDShg4HjS2xeapl1Ibib96JqC/knTtBJAdeA4mezZ/+PeIZM8++SmsHPAY2CXiGSaZ/+Ke4fM8exnAd8Auhf2GfS5q2Tt3Wgp7Ms0f3UkayAiNYDWwLDkpjIl85gLlAaqAYHADINGk8Y0TcsBrAW+FJFwQ8eTnlK490zz7EUkSUSqAdZAHU3TKhs4pHTzinv/6J+9pmntgMcictrQsbxIJWvvxg8o+sJ7ayDAQLEYhIgEJP/7GFjPs6bhzOZRcr+e5/17Hhs4nnQjIo+Sf5jrgPl8xM8/uc/OWmC5iKxL3p0pnn1K956Znv1zIvIU2M+zPluZ4tk/9+K9Z5Jn3wBwSu6XvQJoqmnaMgz83FWy9m5OAjaappXUNC0L0AP428AxpRtN08yTOxyjaZo50BK49PqzPkp/A32TX/cFNhowlnT1/IdWsk58pM8/uaO1B3BVRGa+8NFH/+xfde+Z6Nnn1zTNIvl1NqA5cI3M8exTvPfM8OxFZLyIWItICZ79bt8rIp9g4Odukp4X+1iISKKmaV8AOwBjYKGIXDZwWOmpILD+2c9yTAAvEdlu2JDSlqZp3oA9kE/TND/ge8AVWKVp2kDgAdDVcBGmnVfcu72madV41vx/D/jMUPGlsQZAH+Bicv8dgAlkjmf/qnvvmUmevRWwJHn0vxGwSkQ2a5p2jI//2b/q3pdmkmefEoP+P6+m7lAURVEURcnAVDOooiiKoihKBqaSNUVRFEVRlAxMJWuKoiiKoigZmErWFEVRFEVRMjCVrCmKoiiKomRgauoORVE+es8XngdyAQdFZLeB4qgGFBaRrYa4vqIoHyaVrCmKkmmIyP8MHEI1oBagkjVFUd6YagZVFOWjpGnat5qmXdc0bTdQLnnfYk3TuiS/dtU07UryotS/Ju8rqGnaek3Tzidv9ZP3j9Y07VLy9mXyvhKapl164XpfJ9fgoWnafk3TpmuadkLTtBuapjVKXu1kMtBd07RzmqZ11zStSfLrc5qmnX2+MoiiKMqLVM2aoigfHU3TavJsqZjqPPs5dwY4/cLnljxbLqe8iMjzpXWA34EDItIpefb2HMll9QfsAA04rmnaASD0P8IwEZE6mqa1gf9r735edIriOI6/P1mYIT9KWSsbf4CsxoIsqeFfYDORHzsrygYbW6VZ2FogWVhJ0WTIjyklO1laGkzU6GtxDw3TM0Yptzvv1+apc0/nOfcubp/OObcv56vqQJJzwO6qOtHmcRc4XlUzrWD6l3/yACQNiitrkoZoL3C7qhaqap7ltXvn6YLRdJIjwEJr3w9cBWgFqz8AE22sz1X1CbjVxv+TH0XfnwM7RvSZAa4kOQlsrarFVd2dpDXFsCZpqEbW0muhaA9wE5gEVqptmxHti/z6Dh377frX9vuNEbsYVXUJOAaMA7NJdq0wD0lrlGFN0hA9BA4nGW/nwA4tvdi2HLe0rzJP0x38B7gPTLU+65JsbmNNJtmQZCPd9ukj4D2wPcm2JOuBg6uY10fg57m0JDur6lVVXQaeAYY1Sct4Zk3S4FTViyQ3gDngHV24WmoTcCfJGN3K2ZnWfgq4luQo3YrYVFU9TnIdeNr6TFfVS4AkF4AnwFvgzSqm9gA4m2QOuAhMJNnX/us1cO/v71bS0KVq5E6BJEmS/jO3QSVJknrMsCZJktRjhjVJkqQeM6xJkiT1mGFNkiSpxwxrkiRJPWZYkyRJ6rHvAZokwQdDa7gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "days = [\"2018-12-25\", \"2018-01-01\", \"2018-06-01\", \"2018-06-18\"]\n",
    "\n",
    "plt.figure(figsize=(10, 4))\n",
    "sns.lineplot(data=test_cf.query(\"day.isin(@days)\").query(\"rest_id==2\"),\n",
    "             palette=\"gray\",\n",
    "             y=\"sales_hat\",\n",
    "             x=\"discounts\",\n",
    "             style=\"day\");\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:47.377484Z",
     "start_time": "2023-06-26T13:31:47.041083Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>month</th>\n",
       "      <th>weekday</th>\n",
       "      <th>weekend</th>\n",
       "      <th>is_holiday</th>\n",
       "      <th>...</th>\n",
       "      <th>competitors_price</th>\n",
       "      <th>discounts</th>\n",
       "      <th>sales</th>\n",
       "      <th>cate</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rest_id</th>\n",
       "      <th>day</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"5\" valign=\"top\">0</th>\n",
       "      <th>2018-01-01</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>...</td>\n",
       "      <td>4.92</td>\n",
       "      <td>5</td>\n",
       "      <td>251.5</td>\n",
       "      <td>37.247404</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-02</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>...</td>\n",
       "      <td>3.06</td>\n",
       "      <td>10</td>\n",
       "      <td>541.0</td>\n",
       "      <td>40.269854</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-03</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>...</td>\n",
       "      <td>4.61</td>\n",
       "      <td>10</td>\n",
       "      <td>431.0</td>\n",
       "      <td>37.412988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-04</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>...</td>\n",
       "      <td>4.84</td>\n",
       "      <td>20</td>\n",
       "      <td>760.0</td>\n",
       "      <td>38.436815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-05</th>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>...</td>\n",
       "      <td>6.29</td>\n",
       "      <td>0</td>\n",
       "      <td>78.0</td>\n",
       "      <td>31.428603</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 10 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                    month  weekday  weekend  is_holiday  ...  \\\n",
       "rest_id day                                              ...   \n",
       "0       2018-01-01      1        0    False        True  ...   \n",
       "        2018-01-02      1        1    False       False  ...   \n",
       "        2018-01-03      1        2    False       False  ...   \n",
       "        2018-01-04      1        3    False       False  ...   \n",
       "        2018-01-05      1        4    False       False  ...   \n",
       "\n",
       "                    competitors_price  discounts  sales       cate  \n",
       "rest_id day                                                         \n",
       "0       2018-01-01               4.92          5  251.5  37.247404  \n",
       "        2018-01-02               3.06         10  541.0  40.269854  \n",
       "        2018-01-03               4.61         10  431.0  37.412988  \n",
       "        2018-01-04               4.84         20  760.0  38.436815  \n",
       "        2018-01-05               6.29          0   78.0  31.428603  \n",
       "\n",
       "[5 rows x 10 columns]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from toolz import curry\n",
    "\n",
    "@curry\n",
    "def linear_effect(df, y, t):\n",
    "    return np.cov(df[y], df[t])[0, 1]/df[t].var()\n",
    "\n",
    "\n",
    "cate = (test_cf\n",
    "        .groupby([\"rest_id\", \"day\"])\n",
    "        .apply(linear_effect(t=\"discounts\", y=\"sales_hat\"))\n",
    "        .rename(\"cate\"))\n",
    "\n",
    "test_s_learner_pred = test.set_index([\"rest_id\", \"day\"]).join(cate)\n",
    "\n",
    "test_s_learner_pred.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:31:47.545287Z",
     "start_time": "2023-06-26T13:31:47.379191Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'S-Learner')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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RSSQ0ZkokCdm6dSuVK1fGzc2N1atX83//939OR0o2Xn/9dV5//XX27t3LtGnTmDZtGo0aNbrVnidPHsqXL4+Pjw9DhgyhSpUqbNiwgRw5cjiYWkQSA/VMiSQR69ev59VXXyVt2rSsXbtWhVQ8KVy4MIMHD+bo0aOsWLGCmTNnEhISQkhICNOnT6dLly4sWrSIv//+m+rVq9+61IJISuXq6oqXlxfFixenRIkS/Pbbb3G6/hYtWjBnzhwg6p59u3fvjtP1xwX1TIkkAcuXL6d27drkzJmT5cuXkydPHqcjJXsuLi68+uqrMbb5+PgwZ84catasSZ06dVi0aFGsbhwtkpSlSZPm1g2Wly5dSu/evVm9enW8bGvSpEnxst7YUs+USCK3fPlyatSoQf78+VmzZo0KqUSiWrVqTJo0ieXLl9OqVau4uVmqSBJ36dIlMmfODESdcVyxYkVKlCjB888/z88//wzA1atXef311ylevDj/93//x6xZswDYsmUL5cqVo2TJklSpUuXWRYdvV758ef694He6dOno27cvxYsXp0yZMpw6dQqA06dPU6dOHXx8fPDx8WH9+vXx/r7VMyWSiK1fv57atWtTsGBBVq5cSZYsWZyOJLdp0aIFf/75J3379iU0NJScOXOSOnVqPDw8SJ06NaVKlaJBgwa6IKgkmPLly981rX79+rRv355r165RvXr1u9pbtGhBixYtOHPmDHXr1v1P27/3t7uf69ev4+XlRVhYGCdPnmTFihUAeHh4MH/+fDJkyMCZM2coU6YMtWrVYsmSJTz99NMsWrQIgIsXL3Ljxg06duzIzz//TLZs2Zg1axZ9+/Zl8uTJ99zu1atXKVOmDIMHD6Znz558/fXX9OvXj86dO9O1a1defvlljh07RpUqVW7dHzC+qJgSSaS2bt1K9erVyZkzJ8uWLVMhlUj17t2b8PBwfvzxR44fP84///xDWFgY165dY+TIkUyYMIHx48ffutGqSHJz+2G+DRs20KxZM3bt2oW1lj59+rBmzRpcXFw4ceIEp06d4vnnn6d79+588MEH1KhRAz8/P3bt2sWuXbt47bXXAIiIiHjg5V7c3d2pUaMGACVLluTXX38Fonrzbx9XdenSJS5fvkz69Onj4d1HUTElkgjt2bOHKlWqkClTJpYvX64zxhIxYwwDBw5k4MCB/5keGRnJN998wwcffEDx4sXp0aMH/fr1w9PT84HrvHDhAocOHbr1JfDvv4UKFaJ8+fK4uGiEhsTsfj1Jnp6e923PmjXrQ/VE3Y+vry9nzpzh9OnTBAQEcPr0abZs2YKbmxt58+YlLCyMggULsmXLFgICAujduzeVK1fmzTffpFixYmzYsOGht+Xm5nar19fV1ZWbN28CUb97GzZsIE2aNLF6L49Cv5EiicyRI0eoVKkSrq6uGmyehLm4uNCmTRv27dtH48aN+fTTTylWrBizZs3ixo0bMS5z/fp1Bg8eTO7cufH29qZChQrUrl2bpk2b0r59eypWrEjevHnp06cP+/btS+B3JPJge/fuJSIigixZsnDx4kWyZ8+Om5sbK1euJCQkBIA///wTT09PmjRpQvfu3dm6dSuFChXi9OnTt4qpGzdu8McffzxWhsqVKzN27Nhbr//tNYtPKqZE4sE///zzWMsdOXKEihUrcv36dX799VcKFCgQx8kkoWXLlo3vvvuO1atX4+npScOGDcmXLx8ff/zxrSutR0ZGMm3aNAoWLEi/fv2oVKkS8+fPZ+XKlQQFBbF//35OnDjBzJkzef755xk2bBiFCxemTJkyjB8/nrNnzzr8LiUl+3fMlJeXFw0aNGDKlCm4urrSuHFjgoKC8Pb2Zvr06RQuXBiAnTt3UqpUKby8vBg8eDD9+vXD3d2dOXPm3OrJ9fLyeuxLLIwZM4agoCBeeOEFihYtyoQJE+Ly7cbIWGvjfSMx8fb2tv+OyBdJTtavX0/VqlX58MMP6dGjx0Mvt23bNqpVq0Z4eDhLly7Fx8cnHlOKEyIiIggICGDcuHEsXboUNzc36tSpw4EDB9iyZQslS5ZkxIgRlCtX7r7r+euvv5g+fTpTpkxh586duLm5Ub16dZo0aUKNGjXw8PDg6tWrHDhwgP3793Pw4EHy58/P66+/Hq/jRiTh7dmzhyJFijgdI9mJ6XM1xmyx1nrHNL+KKZE4tHPnTl555RUuXLhA2rRpOXjw4EONd1q+fDlvvfUWmTJlYunSpfrjmALs37+f8ePH8+2335IxY0aGDBnC22+//cjjobZv3860adP44YcfOHnyJBkzZiRdunScOHHirnlTp05NlSpVqFu3LjVr1iRTpkxx9G7EKSqm4oeKKRGHHDlyhLJly+Li4sKUKVOoWrUqLVu25KuvvrrvcjNmzKB58+YUKlSIJUuWkDNnzgRKLInBjRs3cHV1jfWg8oiICAIDA5k5cyaRkZEULFjw1iN//vwEBwczZ84c5s6dS2hoKG5ubowYMYKOHTvG0TsRJ6iYih8qpkQccOrUKcqWLcu5c+dYu3YtxYoVo3PnzowdO5YdO3ZQrFixGJcbNWoUXbt25ZVXXuHnn39WT4HEu8jISDZv3syAAQMIDAxk/fr1lCpVyulY8pj27NlD4cKFdS2zOGStZe/evY9UTGkAukgsXbx4kapVq3Ly5EkCAgJuFU79+/cnffr0fPDBBzEuN3z4cLp27UqdOnVYunSpCilJEC4uLpQuXZoZM2bw9NNP8/bbb3P58mWnY8lj8vDw4OzZszjVMZLcWGs5e/YsHh4ej7ScrjMlEgunTp2ibt267Nq1i19++YUyZcrcasuaNSt9+/alZ8+eBAYGUrFixVtt48ePp0ePHjRo0IDp06fj6urqRHxJwTJnzsz06dMpV64cHTp0YMqUKU5HkseQK1cuQkNDOX36tNNRkg0PDw9y5cr1SMvoMJ/IY1qwYAGtW7fm8uXLfPfddzRo0OCuecLCwihcuDCZM2dmy5YtuLi48O2339KyZUtq167Njz/+iJubmwPpRaIMHDiQjz76iOnTp/P22287HUck0dKYKZE4dOXKFbp168bXX3+Nl5cX06dPv++tQn744QcaN27MlClTcHNzo3Hjxrz22mssWLCA1KlTJ2BykbvdvHmT8uXLs3PnToKDg8mXL5/TkUQSJRVTInFk06ZNNGnShEOHDtGzZ08GDRqEu7v7fZeJjIykdOnSHDlyhAsXLlC2bFkWL178ULcVEUkIISEhFC9enCJFirB27VpSpdIIEJE7aQC6SByYPXs2fn5+hIeHs2rVKoYOHfrAQgqiBvwOHz6cs2fP4u3tzcKFC1VISaLyzDPPMGHCBDZu3Mjrr7/Ojh07nI4kkqSomJIUx1r7yGe+TJw4kYYNG1K6dGmCg4N55ZVXHmn5cuXKsWnTJpYvX64rUEui1LBhQ8aMGcPvv/+Ol5cXTZs25ciRI07HEkkSVExJinHz5k3GjRtH9uzZKVSoECNHjuT8+fP3XcZay6effkq7du2oXr06S5cuJXPmzI+1/VKlSpEuXbrHWlYkIXTs2JHDhw/To0cP5syZQ6FChejcuTP79u3Tqfci96FiSlKEJUuWULx4cTp06ECxYsXIli0b3bp1I2fOnLRu3ZqtW7fetYy1lh49etCnTx8aN27M/PnzdXhOkr3MmTMzbNgwDhw4QPPmzRk7diyFCxcmX758tGvXjnnz5nHx4kWnY4okKhqALsnarl276NmzJ4sXL+a5555j+PDh1KpVC2MM27Zt48svv2T69Olcu3aNdOnSkSVLFrJmzUrWrFm5fv06a9asoWPHjowaNSrWt/sQSYqOHTtGQEAAS5cuJTAwkMuXL+Pq6krnzp359NNPH2rcoEhyoLP5JEUJCwtj3rx5TJw4kdWrV5MxY0Y+/PBDOnToEOMf/gsXLjBjxgwOHDjAmTNnOHPmDGfPnuX8+fO888479OrVS7dqECHqPoIbN25k6tSpTJo0CR8fH2bOnEn+/PmdjiYS72JVTBljcgNTgRxAJDDRWjv6jnkMMBqoDlwDWlhr7z5uchsVUxLXDh48yPjx45kyZQrnzp0jf/78tG3bllatWpE1a1an44kkK/Pnz6dly5ZERkYyadIk6tWr53QkkXgV20sj3ATet9YWAcoA7xlj7rxCYTWgQPSjLfBlLPKKPLLFixdTvHhxxo4dS6VKlVi+fDkHDhzggw8+UCElEg/efPNNtm3bRpEiRahfvz7vvvsuYWFhTscSccQDiylr7cl/e5mstZeBPUDOO2arDUy1UTYCmYwxT8V5WpEYTJkyhZo1a1KoUCEOHz7MrFmzqFixosY4icSzvHnzsnbtWnr27MmECROoV68eN2/edDqWSIJ7pG8bY0xe4EVg0x1NOYHjt70O5e6CC2NMW2NMkDEmSDdllNiy1jJ06FBatGhB+fLlWbVq1SPfnFJEYsfNzY1hw4Yxfvx4Fi5cSPv27XUZBUlxHvqeAcaYdMBcoIu19tKdzTEsctdvk7V2IjARosZMPUJOkf+IiIigS5cujB07lrfffptvv/1WZxWJOOjdd98lNDSUIUOGkDNnTgYMGOB0JJEE81DFlDHGjahCarq1dl4Ms4QCuW97nQv4M/bxRO529uxZWrVqxc8//8z777/PZ599pkN6IonAJ598wp9//snAgQN5+umnadOmjdORRBLEA7+Bos/U+wbYY639/B6zLQCamShlgIvW2pNxmFMEiLr45vPPP09AQACjR49m+PDhKqREEgljDBMnTqRq1ar4+/uzcOFCpyOJJIiH+RYqCzQFKhhjgqMf1Y0x/sYY/+h5AoDDwEHga6B9/MSVlOratWu89957VKtWjSeeeILff/+dTp06OR1LRO7g5ubGjz/+SIkSJahfvz6bN292OpJIvNNFOyVRu3z5MmvXrqVr167s37+fbt26MXjwYDw8PJyOJiL38ffff1OqVCmstWzdupUsWbI4HUkkVu53namHHoAukhCOHj3KypUr2bhxIxs3bmTXrl1ERkaSK1cuAgMDqVChgtMRReQhZM+enTlz5lC2bFmaNm3KwoULdUheki0VU+K4s2fP8uOPP/L999+zfv16ADJmzEiZMmV48803KVOmDH5+fqRNm9bhpCLyKLy9vRk9ejTvvvsuQ4YMoV+/fk5HEokXKqbEMcuXL2fs2LEEBARw48YNihQpwpAhQ6hduzaFCxfW/2JFkoF27dqxbt06PvzwQ8qUKUOlSpWcjiQS5zRmShLc2bNn6dq1K9OmTeOpp56iUaNGNGnSBC8vL91QWCQZunr1KqVKleL06dNs27aNnDnvuqbzA508eZKFCxdSt25dMmfOHA8pRe4vtvfmE4kT1lpmzZpFkSJFmDFjBv379+fIkSOMGDGCF198UYWUSDKVNm1a5s6dy7Vr16hfvz6XLt153ed7Cw4Opnnz5jzzzDO0bdsWb29vduzYEY9pRR6dDvNJgggJCaFjx4788ssv+Pj4sHz5cl544QWnY4lIAilcuDDffPMNDRs2JFOmTBQtWpQyZcpQunRpvL29SZ06Nf/888+tx19//cWECRNYtWoVadOmpV27drz66qt07NgRX19fJk2aRKNGjZx+WyKADvNJPLp58yaLFy9m4sSJBAQEkDp1aj755BM6d+6Mq6ur0/FExAHr168nMDCQjRs3smnTJs6dO3fPeXPnzk3Hjh1p3br1rUN7f/31F/Xq1WPdunV07dqVYcOG4ebmllDxJQW732E+FVMS506dOsX48eP55ptvOHHiBDly5KBly5a0a9eOPHnyOB1PRBIJay2HDh1i27ZtREZGkjp16lsPT09PvL29SZXq7gMo4eHhdO/enS+++IJy5coxe/ZssmfP7sA7kJRExZQkmPPnz1OqVCkOHTpE1apVadOmDTVq1ND/HEUkzk2bNo22bduSPXt2fvrpJ1588UWnI0kypgHokiAiIyNp0qQJISEhrF69moCAAN58800VUiISL5o2bcq6deuIjIykbNmyzJw50+lIkkKpmJI4M3DgwFs3IPbz83M6joikACVLliQoKIgSJUrQqFEjevfuTUREhNOxJIVRMSVx4qeffuLjjz+mZcuW+Pv7P3gBEZE48uSTT7JixQratm3L0KFDqVWrFpcvX3Y6lqQgKqYk1vbu3UuzZs3w8fFh3Lhxul6UiCQ4d3d3vvrqK7788kuWLl1KpUqV7numoEhcUjElsXLp0iXeeOMN0qRJw9y5c/Hw8HA6koikYP7+/sydO5fg4GDKly/PqVOnnI4kKYCKKYmVLl26cPDgQWbPnk3u3LmdjiMiQu3atVm4cCGHDh3Cz8+PY8eOOR1JkjkVU/LYjh49ytSpU+nUqRPlypVzOo6IyC2vvfYay5Yt49SpU/j5+XHw4EGnI0kypmJKHtuIESNwcXGhW7duTkcREblL2bJlWblyJVevXsXPz4+jR486HUmSKRVT8lhOnz7NN998Q5MmTciVK5fTcUREYlSiRAnWrFnDtWvXaNKkCTdv3nQ6kiRDKqbksXzxxReEhYXRo0cPp6OIiNxX0aJFGT9+POvXr+fTTz91Oo4kQyqm5JFduXKFsWPH8sYbb1CkSBGn44iIPFDjxo15++23+eijj9i4caPTcSSZUTElj+zrr7/m/PnzfPDBB05HERF5aOPHjydXrlw0btyYS5cuOR1HkhEVU/JIwsPDGTFiBOXLl6d06dJOxxEReWgZM2Zk+vTpHD16lE6dOjkdR5IRFVPySH744QdOnDihXikRSZLKli1Lv379mDJlCrNmzXI6jiQTxlrryIa9vb1tUFCQI9uWxxMZGUmxYsVInTo127Zt021jRCRJunnzJn5+fuzevZuWLVtSsWJFXnnlFTJkyOB0NEnEjDFbrLXeMbWpZ0oe2oIFC9i7dy+9evVSISUiSVaqVKmYMWMGvr6+TJgwgZo1a/LEE0/g6+vLoEGDuH79utMRJYlRz5Q8lJs3b1KyZEmuXLnCvn37SJUqldORRERiLSwsjA0bNhAYGEhgYCCbNm3i5ZdfZsGCBWTKlMnpeJKIqGdKYm3SpEns2LGDzz77TIWUiCQbHh4evPrqq3zyySds2LCBGTNmsHHjRl555RVOnjzpdDxJIlRMyQOdP3+efv36Ua5cOd566y2n44iIxJsGDRoQEBDAkSNHeOmllzhw4IDTkSQJUDElDzRo0CDOnz/PqFGjNFZKRJK9SpUq3bqnX9myZdmyZYvTkSSRUzEl97Vnzx7Gjh1LmzZt8PLycjqOiEiC8Pb2Zt26dXh6elK+fHmmTZuGU2OMJfF7YDFljJlsjPnbGLPrHu3ljTEXjTHB0Y8P4z6mOKVbt26kTZuWjz/+2OkoIiIJqmDBgvz222+8+OKLNGvWjLfffpsLFy44HUsSoYfpmfoOqPqAedZaa72iH4NiH0sSg4CAAJYsWcKAAQPIli2b03FERBLc008/zcqVKxk8eDBz5szhhRdeYPXq1U7HkkTmgcWUtXYNcC4BskgiEh4eTteuXSlYsCDvvfee03FERBzj6upKnz59+O23326d/de3b18d9pNb4mrMlK8xZrsxZrExplgcrVMcNHLkSPbv38/IkSNxd3d3Oo6IiON8fHzYunUrLVq0YMiQIcyYMcPpSJJIPNRFO40xeYGF1tr/i6EtAxBprb1ijKkOjLbWFrjHetoCbQHy5MlTMiQkJDbZJZ6sW7eOV199lZo1azJv3jyn44iIJCoRERH4+Phw+vRp9u3bh6enp9ORJAHE60U7rbWXrLVXop8HAG7GmKz3mHeitdbbWuutMTiJ08mTJ6lXrx758uXj22+/dTqOiEii4+rqyujRowkNDeV///uf03EkEYh1MWWMyWGiLz5kjCkVvc6zsV2vJLzw8HDq1avHpUuXmDdvHhkzZnQ6kohIouTn50e9evUYNmwYx48fdzqOOOxhLo0wA9gAFDLGhBpjWhlj/I0x/tGz1AV2GWO2A2OAhlaj8pKk999/n/Xr1zN58mT+7//uOqIrIiK3+eyzz4iMjKRXr15ORxGH6UbHAsD3339P06ZN6dq1K59//rnTcUREkoR+/foxePBgfvvtN3x9fZ2OI/HofmOmVEwJW7Zswc/Pj1KlSvHrr7/i5ubmdCQRkSThypUrFCxYkFy5crFx40ZcXHRjkeQqXgegS9JlrWXy5Mn4+fmRJUsWZs2apUJKROQRpEuXjqFDh7J582a+//57p+OIQ1RMpVCXLl2icePGtGrVCl9fX37//XeefPJJp2OJiCQ5TZo0oVSpUvTq1Ys///zT6TjiABVTKdCWLVsoUaIEs2bN4uOPP2bZsmU89dRTTscSEUmSXFxc+PLLL7l8+TJ+fn4cPXrU6UiSwFRMpTAzZ87E19eXf/75h1WrVtGvXz9cXV2djiUikqSVKFGCwMBAzp07h5+fH/v373c6kiQgFVMpyM6dO2nZsiWlS5cmODgYPz8/pyOJiCQbpUqVYtWqVfzzzz+88sor7Ny50+lIkkBUTKUQly9fpm7dumTMmJE5c+aQJUsWpyOJiCQ7xYsXZ82aNbi6ulK+fHl01nrKoGIqBbDW0qZNGw4ePMjMmTM10FxEJB4VLlyYtWvXkiFDBipUqMDixYudjiTxTMVUCvDll18ya9YsBg8eTLly5ZyOIyKS7OXPn5+1a9eSP39+atSowahRo9DNQZIvFVPJXFBQEF27dqV69er07NnT6TgiIilGrly5WLduHbVr16Zr1660a9eO8PBwp2NJPFAxlYydP3+eevXqkSNHDqZOnaor84qIJLB06dIxZ84c+vbty9dff03lypU5e/as07EkjqVyOoDEn/bt23PixAnWrl2rAeciIg5xcXHhk08+oUiRIrRq1YoiRYrg7e1NoUKFbj2KFStG9uzZnY4qj0nFVDK1YMECZs6cyaBBgyhdurTTcUREUrzGjRtToEABRo4cyd69e1m9ejXXrl271V60aFEqVqxIhQoVKF++PJkyZXIurDwS3eg4Gbp48SJFixYla9asbN68GXd3d6cjiYjIHSIjIzlx4gT79u1j69atrFixgrVr13Lt2jVcXFzw9vbm9ddfp2bNmnh5eWGMcTpyina/Gx2rmEqG2rZtyzfffMOmTZvw9o5xv4uISCIUHh7Oxo0bWbFiBUuWLOH333/HWkvOnDmpUaMG9evXp0KFCk7HTJFUTKUgK1asoGLFivTo0YPPPvvM6TgiIhILp06dIiAggIULF7Js2TKuXLnCW2+9xZgxY8iZM6fT8VIUFVMpxLVr13j++edxcXFh+/bteHp6Oh1JRETiSFhYGCNHjmTQoEG4ubnx6aef4u/vr/urJpD7FVM6Vz4Z6d+/P4cPH2bSpEkqpEREkhkPDw969+7Nzp07KV26NB06dKBs2bK6B2AioGIqGbDWMm/ePEaNGoW/v7+uci4ikow999xzLFu2jGnTpnHo0CF8fHz4/vvvnY6VoqmYSsIiIiKYNWsWJUqUoE6dOhQoUIBhw4Y5HUtEROKZMYYmTZqwe/duypQpQ9OmTenduzeRkZFOR0uRVEwlQTdu3GDixIkUKlSIhg0bcv36dSZPnsyOHTvIkCGD0/FERCSBZMuWjWXLltG2bVuGDh3KG2+8weXLl52OleKomEqCevXqRbt27cicOTNz585l9+7dvPPOO7qelIhICuTu7s6ECRP44osvCAgI4KWXXuLIkSNOx0pRdDZfEhMSEkLBggV5++23mTx5si7iJiIit/z666/Ur1+ftGnT8scff5AxY0anIyUbOpsvGfnoo48wxjBo0CAVUiIi8h+vvfYaS5cu5eTJk/Tp08fpOCmGiqkkZPfu3UyZMoX27duTO3dup+OIiEgiVKpUKTp06MCXX37Jhg0bnI6TIugwXxJSp04dfv31Vw4dOkS2bNmcjiMiIonU5cuXKVq0KJkyZWLr1q24ubk5HSnJ02G+ZOD3339n3rx5vP/++yqkRETkvtKnT8+4cePYtWsXw4cPdzpOsqeeqSSiUqVKbN++ncOHD5M+fXqn44iISBJQp04dAgIC2LVrF88++6zTcZI09UwlccuXLycwMJC+ffuqkBIRkYc2ZswY3N3d8ff3x6nOk5RAxVQiZ62lT58+5M6dG39/f6fjiIhIEpIzZ04+/fRTli9frlvOxCMVU4nc+PHj2bx5Mx999BEeHh5OxxERkSTG398fX19fWrduzaBBg/jnn3+cjpTsPLCYMsZMNsb8bYzZdY92Y4wZY4w5aIzZYYwpEfcxU56IiAh69uxJhw4dqFy5Mk2bNnU6koiIJEEuLi789NNPvPXWWwwYMAAvLy/WrFnjdKxk5WF6pr4Dqt6nvRpQIPrRFvgy9rFStsuXL/PGG2/wv//9j/fee4+FCxeSKlUqp2OJiEgSlT17dmbMmEFAQABhYWGUK1eOVq1acfbsWaejJQsPLKastWuAc/eZpTYw1UbZCGQyxjwVVwFTmqNHj/LSSy+xePFixo0bx9ixY3V9EBERiRPVqlXjjz/+4IMPPmDKlCm8+OKLuo9fHIiLMVM5geO3vQ6NnnYXY0xbY0yQMSbo9OnTcbDp5CMyMpIff/wRHx8fQkNDWbJkCe3bt3c6loiIJDOenp4MHTqUDRs2cOXKFSpUqEBISIjTsZK0uCimYrpBXIznX1prJ1prva213rrwZBRrLUuWLMHHx4f69euTI0cONm7cSKVKlZyOJiIiyZiPjw+//vor58+fp0KFCoSGhjodKcmKi2IqFLj9RnG5gD/jYL3J3vr16ylXrhzVqlXj3LlzTJkyheDgYAoVKuR0NBERSQFKlizJsmXLOHPmDK+++ip//qmv78cRF8XUAqBZ9Fl9ZYCL1tqTcbDeZCsiIoKuXbvy8ssvs3//fsaOHcu+ffto1qwZrq6uTscTEZEUpFSpUixZsoS//vqLChUq8NdffzkdKcl5mEsjzAA2AIWMMaHGmFbGGH9jzL9XkAwADgMHga8BDfS5j2vXrlG3bl1GjRpFhw4dOHToEO+99x7u7u5ORxMRkRTK19eXgIAAjh8/TrVq1QgPD3c6UpKie/MloFOnTlGrVi02b97MyJEj6dy5s9ORREREblmwYAG1a9emT58+DB482Ok4iYruzZcI7N27F19fX3bu3Mn8+fNVSImISKJTq1YtWrZseetsP3k4KqYSwM6dO/H19eXq1ausXr2a2rVrOx1JREQkRiNHjiR37tw0b96cq1evOh0nSVAxlQD69OmDi4sLmzZtwsfHx+k4IiIi95QhQwa+/fZbDhw4QK9evZyOkySomIpn27ZtY+HChXTt2pW8efM6HUdEROSBXn31Vbp06cLYsWNZvny503ESPQ1Aj2dvvfUWK1asICQkhIwZMzodR0RE5KFcv36dEiVKcOXKFXbu3EmmTJmcjuQoDUB3yL+DzTt16qRCSkREkpQ0adIwdepUTp48Sbdu3ZyOk6ipmIpHgwcPJl26dHTp0sXpKCIiIo/Mx8eHbt268e2337J9+3an4yRaKqbiyd69e5k9ezYdOnTgiSeecDqOiIjIY+nduzeZMmWib9++TkdJtFRMxZMhQ4aQJk0adY2KiEiSljlzZj744AMWLVrEunXrnI6TKKmYigcHDx5k+vTp+Pv7ky1bNqfjiIiIxEqnTp3IkSMHvXv3xqkT1xIzFVPx4NNPP8Xd3Z3u3bs7HUVERCTWPD096d+/P+vWrWPx4sVOx0l0VEzFscOHDzN16lTatGnDU0895XQcERGRONG6dWvy589Pnz59iIyMdDpOoqJiKg5du3aNevXqkSZNGnr27Ol0HBERkTjj7u7OoEGD2L59O7Nnz3Y6TqKiYiqOWGt555132LZtGzNmzCBXrlxORxIREYlTjRo14vnnn6dfv37cuHHD6TiJhoqpOPLJJ58we/Zshg0bxuuvv+50HBERkTjn4uLCkCFDOHToEJMnT3Y6TqKh28nEgblz51K3bl2aNm3KlClTMMY4HUlERCReWGt55ZVX2LVrF5s3b+a5555zOlKC0O1k4lFwcDDNmjWjTJkyTJw4UYWUiIgka8YYpk6diouLC2+++SZXrlxxOpLjVEzFwunTp6lVqxZPPPEE8+fPx8PDw+lIIiIi8S5fvnzMnDmT3bt307JlyxR/7SkVU7HQr18/Tp48yc8//0yOHDmcjiMiIpJgXnvtNYYOHcqPP/7I//73P6fjOErF1GPavXs3kyZNon379pQoUcLpOCIiIgmue/fu1K9fn969e7Ns2TKn4zhGA9AfU82aNVmzZg2HDh0ia9asTscRERFxxNWrV/H19SU0NJSgoCDy58/vdKR4oQHocWzlypUsXLiQPn36qJASEZEULW3atMyfPx+Atm3bOpzGGSqmHlFkZCTdu3cnT548dOrUyek4IiIijnv22Wfp0qULgYGBHDt2zOk4CU7F1COaMWMGW7duZfDgwaRJk8bpOCIiIolC48aNgajvyZRGY6YeQVhYGIUKFSJr1qxs3rwZFxfVoiIiIv966aWXuHLlCjt27HA6SpzTmKk4MmbMGI4dO8b//vc/FVIiIiJ3aNy4MTt37kyWxdT9qCJ4SGfPnmXIkCG8/vrrVKhQwek4IiIiiU79+vVJlSoV06dPdzpKglIx9ZAGDBjA5cuXGTZsmNNRREREEqVs2bJRtWpVfvjhByIjI52Ok2BUTD2EP/74gwkTJuDv70+xYsWcjiMiIpJoNW7cmNDQUNasWeN0lASjYuoBrLV07dqV9OnT89FHHzkdR0REJFGrVasW6dKl4/vvv3c6SoJ5qGLKGFPVGLPPGHPQGNMrhvbyxpiLxpjg6MeHcR/VGYsWLeLXX39l4MCBukCniIjIA3h6evLWW28xZ84cwsLCnI6TIB5YTBljXIFxQDWgKNDIGFM0hlnXWmu9oh+D4jinI8LDw+nWrRuFChWiffv2TscRERFJEpo0acLFixdZtGiR01ESxMP0TJUCDlprD1trw4GZQO34jZU4jB07lgMHDvD555/j5ubmdBwREZEkoUKFCuTIkSPFnNX3MMVUTuD4ba9Do6fdydcYs90Ys9gYE+MobWNMW2NMkDEm6PTp048RN+GcPn2aQYMGUbVqVapXr+50HBERkSTD1dWVRo0asWjRIs6fP+90nHj3MMWUiWHanZdN3wo8Y60tDnwB/BTTiqy1E6213tZa72zZsj1S0IT24YcfcuXKFT7//HOno4iIiCQ5TZo0ITw8nDlz5jgdJd49TDEVCuS+7XUu4M/bZ7DWXrLWXol+HgC4GWOS7Gjt4OBgJk6cyHvvvUeRIkWcjiMiIpLkvPjiixQpUoQxY8Zw48YNp+PEq4cppjYDBYwx+Ywx7kBDYMHtMxhjchhjTPTzUtHrPRvXYRNCeHg4LVq0IFu2bAwYMMDpOCIiIkmSMYbBgweza9cuRo8e7XScePXAYspaexPoACwF9gCzrbV/GGP8jTH+0bPVBXYZY7YDY4CG1qk7KMfSkCFD2L59O1999RVPPPGE03FERESSrDfeeIOaNWsyYMAAjh075nSceGOcqnm8vb1tUFCQI9u+l+DgYHx8fGjQoEGKutiYiIhIfAkJCaFo0aJUqlSJn3/+2ek4j80Ys8Va6x1Tm66AHi08PJzmzZuTNWtWxowZ43QcERGRZOGZZ55h4MCBLFiwIEkXU/ejYirakCFD2LFjhw7viYiIxLEuXbrw/PPP07FjR65cueJ0nDinYoqow3uDBw+mSZMm1KpVy+k4IiIiyYqbmxtfffUVx48fT5Ynd6X4Yurfs/eyZs2a7M82EBERcYqvry9t27Zl9OjRBAcHOx0nTqX4YqpXr15s376diRMn6vCeiIhIPBo6dChZsmShU6dOJNGT/mOUooupn376iZEjR9KxY0dq1qzpdBwREZFkLXPmzAwcOJC1a9eyZMkSp+PEmRR7aYQjR45QokQJnnvuOdatW0fq1KkdyyIiIpJShIeHU7hwYTJlykRQUBAuLkmjX0eXRrhDeHg4DRo0wFrL7NmzVUiJiIgkEHd3dwYNGsS2bduYO3eu03HiRIospnr27MnmzZv59ttvyZcvn9NxREREUpRGjRpRrFgx+vfvz82bN52OE2sprpiaN28eo0ePpnPnzrz55ptOxxEREUlxXF1d+eSTT9i3bx9Tp051Ok6spagxUydOnKBYsWIUKlSItWvX4u7unqDbFxERkSjWWsqUKcPJkyfZv38/Hh4eTke6L42ZivbZZ59x9epVfvjhBxVSIiIiDjLGMGTIEI4fP85XX33ldJxYSTHF1KlTp5g4cSJNmzbl2WefdTqOiIhIilexYkUqVKjA4MGDuXz5stNxHluKKaZGjhxJeHg4vXr1cjqKiIiIRBsyZAinT5+mX79+REZGOh3nsaSIYurcuXOMGzeOevXqUbBgQafjiIiISLTSpUvTrl07xowZQ82aNTl79qzTkR5ZiiimvvjiC65cuUKfPn2cjiIiIiJ3+PLLLxk3bhzLly+nRIkSbNq0yelIjyTZF1OXL19m9OjR1KpVixdeeMHpOCIiInIHYwzt27dn/fr1uLi44Ofnx+jRo5PM/fuSfTE1YcIEzp8/T9++fZ2OIiIiIvfh7e3N1q1bqV69Ol26dKF///5OR3ooyfo6U9evXydfvny88MILLFu2LF63JSIiInHDWkvdunVZsWIFJ06cwNPT0+lIKfc6U9988w2nTp1Sr5SIiEgSYoyhU6dOXLhwgTlz5jgd54GSbc9UeHg4zz33HHny5GHt2rUYY+JtWyIiIhK3rLUULlyYbNmysW7dOqfjpMyeqaCgIP7++2/69eunQkpERCSJMcbQpk0b1q9fz+7du52Oc1/Jtph66aWXCAkJoUqVKk5HERERkcfQvHlz3Nzc+Prrr52Ocl/JtpgCePLJJ9UrJSIikkRly5aNN998k6lTpxIWFuZ0nHtK1sWUiIiIJG1t2rTh3LlzzJs3z+ko96RiSkRERBKtChUqkD9//kR9qE/FlIiIiCRaLi4utG7dmlWrVrF//36n48RIxZSIiIgkau+88w6pUqVi0qRJTkeJkYopERERSdRy5MhBzZo1+e677wgPD3c6zl1UTImIiEii16ZNG06fPs2sWbOcjnKXhyqmjDFVjTH7jDEHjTG9Ymg3xpgx0e07jDEl4j6qiIiIpFSVK1emcOHCNG/enEaNGrFv3z6nI93ywGLKGOMKjAOqAUWBRsaYonfMVg0oEP1oC3wZxzlFREQkBXN1deW3336jd+/e/PLLLxQtWpR33nmHI0eOOB3twffmM8b4AgOttVWiX/cGsNZ+ets8XwGrrLUzol/vA8pba0/ea73xfW++f5UvX/6uafXr16d9+/Zcu3aN6tWr39XeokULWrRowZkzZ6hbt+5d7e+++y4NGjTg+PHjNG3a9K72999/n5o1a7Jv3z7atWt3V3u/fv2oVKkSwcHBdOnS5a72IUOG8NJLL/Hbb7/Rp0+fu9pHjRqFl5cXy5cv55NPPrmr/auvvqJQoUL88ssvjBgx4q72adOmkTt3bmbNmsWXX95d986ZM4esWbPy3Xff8d13393VHhAQgKenJ+PHj2f27Nl3ta9atQqA4cOHs3Dhwv+0pUmThsWLFwPw8ccfExgY+J/2LFmyMHfuXAB69+7Nhg0b/tOeK1cuvv/+ewC6dOlCcHDwf9oLFizIxIkTAWjbtu1dZ354eXkxatQoAJo0aUJoaOh/2n19ffn006gf7Tp16nD27Nn/tFesWJH+/fsDUK1aNa5fv/6f9ho1atC9e3dAP3v62dPP3u30s6efvcf52fv3c73T33//zbBhwxg3bhyRkZH079//Vsb4Ett78+UEjt/2OjR62qPOgzGmrTEmyBgTdPr06YfYtIiIiMh/Zc+enREjRnDo0CHatGlD3rx5Hc3zMD1T9YAq1trW0a+bAqWstR1vm2cR8Km1dl3060Cgp7V2y73Wm1A9UyIiIiKxFdueqVAg922vcwF/PsY8IiIiIsnOwxRTm4ECxph8xhh3oCGw4I55FgDNos/qKwNcvN94KREREZHkItWDZrDW3jTGdACWAq7AZGvtH8YY/+j2CUAAUB04CFwD3om/yCIiIiKJxwOLKQBrbQBRBdPt0ybc9twC78VtNBEREZHET1dAFxEREYkFFVMiIiIisaBiSkRERCQWVEyJiIiIxMIDL9oZbxs25jQQkgCbygqcSYDtyINpXyQe2heJi/ZH4qF9kbgkpv3xjLU2W0wNjhVTCcUYE3SvK5ZKwtK+SDy0LxIX7Y/EQ/sicUkq+0OH+URERERiQcWUiIiISCykhGJqotMB5Bbti8RD+yJx0f5IPLQvEpcksT+S/ZgpERERkfiUEnqmREREROKNiikRERGRWEi2xZQxpqoxZp8x5qAxppfTeVISY0xuY8xKY8weY8wfxpjO0dOfMMb8aow5EP1vZqezpiTGGFdjzDZjzMLo19ofDjDGZDLGzDHG7I3+HfHVvnCOMaZr9N+pXcaYGcYYD+2PhGGMmWyM+dsYs+u2aff87I0xvaO/0/cZY6o4kzpmybKYMsa4AuOAakBRoJExpqizqVKUm8D71toiQBngvejPvxcQaK0tAARGv5aE0xnYc9tr7Q9njAaWWGsLA8WJ2ifaFw4wxuQEOgHe1tr/A1yBhmh/JJTvgKp3TIvxs4/+DmkIFIteZnz0d32ikCyLKaAUcNBae9haGw7MBGo7nCnFsNaetNZujX5+magvi5xE7YMp0bNNAd5wJGAKZIzJBbwOTLptsvZHAjPGZABeAb4BsNaGW2svoH3hpFRAGmNMKsAT+BPtjwRhrV0DnLtj8r0++9rATGvtP9baI8BBor7rE4XkWkzlBI7f9jo0epokMGNMXuBFYBPwpLX2JEQVXEB2B6OlNKOAnkDkbdO0PxJefuA08G30IddJxpi0aF84wlp7AhgOHANOAhettcvQ/nDSvT77RP29nlyLKRPDNF0DIoEZY9IBc4Eu1tpLTudJqYwxNYC/rbVbnM4ipAJKAF9aa18ErqJDSI6JHo9TG8gHPA2kNcY0cTaV3EOi/l5PrsVUKJD7tte5iOq6lQRijHEjqpCabq2dFz35lDHmqej2p4C/ncqXwpQFahljjhJ1yLuCMeZ7tD+cEAqEWms3Rb+eQ1RxpX3hjErAEWvtaWvtDWAe8BLaH06612efqL/Xk2sxtRkoYIzJZ4xxJ2rQ2gKHM6UYxhhD1JiQPdbaz29rWgA0j37eHPg5obOlRNba3tbaXNbavET9Lqyw1jZB+yPBWWv/Ao4bYwpFT6oI7Eb7winHgDLGGM/ov1sViRrjqf3hnHt99guAhsaY1MaYfEAB4HcH8sUo2V4B3RhTnahxIq7AZGvtYGcTpRzGmJeBtcBO/v8YnT5EjZuaDeQh6o9YPWvtnYMPJR4ZY8oD3a21NYwxWdD+SHDGGC+iTgRwBw4D7xD1H1vtCwcYYz4CGhB1FvI2oDWQDu2PeGeMmQGUB7ICp4ABwE/c47M3xvQFWhK1r7pYaxcnfOqYJdtiSkRERCQhJNfDfCIiIiIJQsWUiIiISCyomBIRERGJBRVTIiIiIrGgYkpEREQkFlRMiYiIiMSCiikRERGRWPh/30oC9u2m7KYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from fklearn.causal.validation.auc import area_under_the_relative_cumulative_gain_curve\n",
    "from fklearn.causal.validation.curves import relative_cumulative_gain_curve\n",
    "\n",
    "gain_curve_test = relative_cumulative_gain_curve(test_s_learner_pred, T, y, prediction=\"cate\")\n",
    "auc = area_under_the_relative_cumulative_gain_curve(test_s_learner_pred, T, y, prediction=\"cate\")\n",
    "\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.plot(gain_curve_test, color=\"C0\", label=f\"AUC: {auc:.2f}\")\n",
    "plt.hlines(0, 0, 100, linestyle=\"--\", color=\"black\", label=\"Baseline\")\n",
    "\n",
    "plt.legend();\n",
    "plt.title(\"S-Learner\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:38.252085Z",
     "start_time": "2023-06-26T13:31:47.546907Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '500 Simulations')"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(123)\n",
    "\n",
    "def sim_s_learner_ate():\n",
    "    n = 10000\n",
    "    nx = 20\n",
    "    \n",
    "    X = np.random.normal(0, 1, (n, nx))\n",
    "    coefs_y = np.random.uniform(-1, 1, nx)\n",
    "    coefs_t = np.random.uniform(-0.5, 0.5, nx)\n",
    "    \n",
    "    ps = 1/(1+np.exp(-(X.dot(coefs_t))))\n",
    "    t = np.random.binomial(1, ps)\n",
    "    te = 1\n",
    "    \n",
    "    y = np.random.normal(t*te + X.dot(coefs_y), 1)\n",
    "    \n",
    "    s_learner = LGBMRegressor(max_depth=5, n_jobs=4)\n",
    "    s_learner.fit(np.concatenate([X, t.reshape(-1, 1)], axis=1), y);\n",
    "    \n",
    "    ate_hat = (s_learner.predict(np.concatenate([X, np.ones((n, 1))], axis=1))\n",
    "               - s_learner.predict(np.concatenate([X, np.zeros((n, 1))], axis=1))).mean()\n",
    "    \n",
    "    return ate_hat\n",
    "    \n",
    "    \n",
    "ates = [sim_s_learner_ate() for _ in range(500)]\n",
    "\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.hist(ates, alpha=0.5, bins=20, label=\"Simulations\")\n",
    "plt.vlines(1, 0, 70, label=\"True ATE\")\n",
    "plt.legend()\n",
    "plt.xlabel(\"ATE\")\n",
    "plt.title(\"500 Simulations\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Double/Debiased Machine Learning\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:38.679431Z",
     "start_time": "2023-06-26T13:32:38.253467Z"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import cross_val_predict\n",
    "\n",
    "X = [\"month\", \"weekday\", \"is_holiday\", \"competitors_price\"]\n",
    "T = \"discounts\"\n",
    "y = \"sales\"\n",
    "\n",
    "debias_m = LGBMRegressor()\n",
    "denoise_m = LGBMRegressor()\n",
    "\n",
    "t_res =  train[T] - cross_val_predict(debias_m,train[X],train[T],cv=5)\n",
    "y_res =  train[y] - cross_val_predict(denoise_m,train[X],train[y],cv=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:39.533705Z",
     "start_time": "2023-06-26T13:32:38.680736Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "      <td></td>         <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>discounts</th> <td>   31.4615</td> <td>    0.151</td> <td>  208.990</td> <td> 0.000</td> <td>   31.166</td> <td>   31.757</td>\n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.table.SimpleTable'>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import statsmodels.api as sm\n",
    "\n",
    "sm.OLS(y_res, t_res).fit().summary().tables[1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Double-ML for CATE Estimation\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:39.619070Z",
     "start_time": "2023-06-26T13:32:39.534947Z"
    }
   },
   "outputs": [],
   "source": [
    "y_star = y_res/t_res\n",
    "w = t_res**2\n",
    "\n",
    "cate_model = LGBMRegressor().fit(train[X], y_star, sample_weight=w)\n",
    "\n",
    "test_r_learner_pred = test.assign(cate = cate_model.predict(test[X]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:39.779919Z",
     "start_time": "2023-06-26T13:32:39.620353Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'R-Learner')"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gain_curve_test = relative_cumulative_gain_curve(test_r_learner_pred, T, y, prediction=\"cate\")\n",
    "auc = area_under_the_relative_cumulative_gain_curve(test_r_learner_pred, T, y, prediction=\"cate\")\n",
    "\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.plot(gain_curve_test, color=\"C0\", label=f\"AUC: {auc:.2f}\")\n",
    "plt.hlines(0, 0, 100, linestyle=\"--\", color=\"black\", label=\"Baseline\")\n",
    "\n",
    "plt.legend();\n",
    "plt.title(\"R-Learner\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visual Intuition for Double-ML\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:39.790532Z",
     "start_time": "2023-06-26T13:32:39.786083Z"
    }
   },
   "outputs": [],
   "source": [
    "np.random.seed(123)\n",
    "n = 5000\n",
    "\n",
    "x_h = np.random.randint(1, 4, n)\n",
    "x_c = np.random.uniform(-1, 1, n)\n",
    "\n",
    "t = np.random.normal(10 + 1*x_c + 3*x_c**2 + x_c**3, 0.3)\n",
    "y = np.random.normal(t + x_h*t - 5*x_c - x_c**2 - x_c**3, 0.3)\n",
    "\n",
    "df_sim = pd.DataFrame(dict(x_h=x_h, x_c=x_c, t=t, y=y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:40.098825Z",
     "start_time": "2023-06-26T13:32:39.791603Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd822c9ce90>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "cmap = matplotlib.colors.LinearSegmentedColormap.from_list(\"\", [\"0.1\",\"0.5\",\"0.9\"])\n",
    "\n",
    "sns.scatterplot(data=df_sim, y=\"y\", x=\"t\", hue=\"x_c\", style=\"x_h\", palette=cmap);\n",
    "plt.legend(fontsize=14)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:40.322592Z",
     "start_time": "2023-06-26T13:32:40.099996Z"
    }
   },
   "outputs": [],
   "source": [
    "debias_m = LGBMRegressor(max_depth=3)\n",
    "denoise_m = LGBMRegressor(max_depth=3)\n",
    "\n",
    "t_res = cross_val_predict(debias_m, df_sim[[\"x_c\"]], df_sim[\"t\"],\n",
    "                          cv=10)\n",
    "\n",
    "y_res = cross_val_predict(denoise_m, df_sim[[\"x_c\", \"x_h\"]],df_sim[\"y\"],\n",
    "                          cv=10)\n",
    "\n",
    "df_res = df_sim.assign(\n",
    "    t_res =  df_sim[\"t\"] - t_res,\n",
    "    y_res =  df_sim[\"y\"] - y_res\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:40.331220Z",
     "start_time": "2023-06-26T13:32:40.323694Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.045230146006292"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import statsmodels.formula.api as smf\n",
    "\n",
    "smf.ols(\"y_res~t_res\", data=df_res).fit().params[\"t_res\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:40.782998Z",
     "start_time": "2023-06-26T13:32:40.332507Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd823afbb50>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(15, 5))\n",
    "\n",
    "ax1 = sns.scatterplot(data=df_res, y=\"y_res\", x=\"t_res\", hue=\"x_c\", style=\"x_h\", alpha=0.5, ax=ax1, palette=cmap)\n",
    "\n",
    "h,l = ax1.get_legend_handles_labels()\n",
    "ax1.legend(fontsize=14)\n",
    "\n",
    "sns.scatterplot(data=df_res, y=\"y_res\", x=\"t_res\", hue=\"x_h\", ax=ax2, alpha=0.5, palette=cmap)\n",
    "ax2.legend(fontsize=14)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:40.794154Z",
     "start_time": "2023-06-26T13:32:40.784104Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CATE x_h=1 2.019759619990067\n",
      "CATE x_h=2 2.974967932350952\n",
      "CATE x_h=3 3.9962382855476957\n"
     ]
    }
   ],
   "source": [
    "df_star = df_res.assign(\n",
    "    y_star = df_res[\"y_res\"]/df_res[\"t_res\"],\n",
    "    weight = df_res[\"t_res\"]**2,\n",
    ")\n",
    "\n",
    "for x in range(1, 4):\n",
    "    cate = np.average(df_star.query(f\"x_h=={x}\")[\"y_star\"],\n",
    "                      weights=df_star.query(f\"x_h=={x}\")[\"weight\"])\n",
    "    \n",
    "    print(f\"CATE x_h={x}\", cate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-06-26T13:32:41.134073Z",
     "start_time": "2023-06-26T13:32:40.795356Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd823e00d90>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "sns.scatterplot(data=df_star, palette=cmap,\n",
    "                y=\"y_star\", x=\"t_res\", hue=\"x_h\", size=\"weight\", sizes=(1, 100)), \n",
    "\n",
    "plt.hlines(np.average(df_star.query(\"x_h==1\")[\"y_star\"], weights=df_star.query(\"x_h==1\")[\"weight\"]),\n",
    "           -1, 1, label=\"x_h=1\", color=\"0.1\")\n",
    "\n",
    "plt.hlines(np.average(df_star.query(\"x_h==2\")[\"y_star\"], weights=df_star.query(\"x_h==2\")[\"weight\"]),\n",
    "           -1, 1, label=\"x_h=2\", color=\"0.5\")\n",
    "\n",
    "plt.hlines(np.average(df_star.query(\"x_h==3\")[\"y_star\"], weights=df_star.query(\"x_h==3\")[\"weight\"]),\n",
    "           -1, 1, label=\"x_h=3\", color=\"0.9\")\n",
    "\n",
    "plt.ylim(-1, 8)\n",
    "\n",
    "plt.legend(fontsize=12)\n",
    "\n"
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